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Finding the Fourth Proportional to 735.92, 1,014.10 and 525.72

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Solution

The fourth proportional to 735.92, 1,014.10 and 525.72 is: 724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.92 : 1,014.10 = 525.72 : x
  2. Step 2: Convert to fraction form
    735.92/1,014.10 = 525.72/x
  3. Step 3: Cross multiply
    735.92x = 1,014.10 × 525.72
  4. Step 4: Simplify right side
    735.92x = 533,132.65
  5. Step 5: Solve for x
    x = 533,132.65/735.92
  6. Step 6: Final answer
    x = 724.44

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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.