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Finding the Fourth Proportional to 754.80, 1,041.24 and 474.96

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Solution

The fourth proportional to 754.80, 1,041.24 and 474.96 is: 655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.80 : 1,041.24 = 474.96 : x
  2. Step 2: Convert to fraction form
    754.80/1,041.24 = 474.96/x
  3. Step 3: Cross multiply
    754.80x = 1,041.24 × 474.96
  4. Step 4: Simplify right side
    754.80x = 494,547.35
  5. Step 5: Solve for x
    x = 494,547.35/754.80
  6. Step 6: Final answer
    x = 655.20

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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.