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Finding the Fourth Proportional to 1,094.32, 1,510.44 and 701.68

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Solution

The fourth proportional to 1,094.32, 1,510.44 and 701.68 is: 968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.32 : 1,510.44 = 701.68 : x
  2. Step 2: Convert to fraction form
    1,094.32/1,510.44 = 701.68/x
  3. Step 3: Cross multiply
    1,094.32x = 1,510.44 × 701.68
  4. Step 4: Simplify right side
    1,094.32x = 1,059,845.54
  5. Step 5: Solve for x
    x = 1,059,845.54/1,094.32
  6. Step 6: Final answer
    x = 968.50

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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.