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Finding the Fourth Proportional to 1,041.10, 1,436.13 and 598.92

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Solution

The fourth proportional to 1,041.10, 1,436.13 and 598.92 is: 826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.10 : 1,436.13 = 598.92 : x
  2. Step 2: Convert to fraction form
    1,041.10/1,436.13 = 598.92/x
  3. Step 3: Cross multiply
    1,041.10x = 1,436.13 × 598.92
  4. Step 4: Simplify right side
    1,041.10x = 860,125.63
  5. Step 5: Solve for x
    x = 860,125.63/1,041.10
  6. Step 6: Final answer
    x = 826.17

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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.