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Finding the Fourth Proportional to 740.87, 1,022.04 and 475.16

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Solution

The fourth proportional to 740.87, 1,022.04 and 475.16 is: 655.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.87 : 1,022.04 = 475.16 : x
  2. Step 2: Convert to fraction form
    740.87/1,022.04 = 475.16/x
  3. Step 3: Cross multiply
    740.87x = 1,022.04 × 475.16
  4. Step 4: Simplify right side
    740.87x = 485,627.42
  5. Step 5: Solve for x
    x = 485,627.42/740.87
  6. Step 6: Final answer
    x = 655.49

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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.