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Finding the Fourth Proportional to 974.92, 1,345.48 and 532.88

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Solution

The fourth proportional to 974.92, 1,345.48 and 532.88 is: 735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.92 : 1,345.48 = 532.88 : x
  2. Step 2: Convert to fraction form
    974.92/1,345.48 = 532.88/x
  3. Step 3: Cross multiply
    974.92x = 1,345.48 × 532.88
  4. Step 4: Simplify right side
    974.92x = 716,983.94
  5. Step 5: Solve for x
    x = 716,983.94/974.92
  6. Step 6: Final answer
    x = 735.43

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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.