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Finding the Fourth Proportional to 740.40, 1,020.60 and 507.12

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Solution

The fourth proportional to 740.40, 1,020.60 and 507.12 is: 699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.40 : 1,020.60 = 507.12 : x
  2. Step 2: Convert to fraction form
    740.40/1,020.60 = 507.12/x
  3. Step 3: Cross multiply
    740.40x = 1,020.60 × 507.12
  4. Step 4: Simplify right side
    740.40x = 517,566.67
  5. Step 5: Solve for x
    x = 517,566.67/740.40
  6. Step 6: Final answer
    x = 699.04

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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.