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Finding the Fourth Proportional to 1,436.44, 1,981.74 and 846.76

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Solution

The fourth proportional to 1,436.44, 1,981.74 and 846.76 is: 1,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.44 : 1,981.74 = 846.76 : x
  2. Step 2: Convert to fraction form
    1,436.44/1,981.74 = 846.76/x
  3. Step 3: Cross multiply
    1,436.44x = 1,981.74 × 846.76
  4. Step 4: Simplify right side
    1,436.44x = 1,678,058.16
  5. Step 5: Solve for x
    x = 1,678,058.16/1,436.44
  6. Step 6: Final answer
    x = 1,168.21

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.