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Finding the Fourth Proportional to 750.42, 1,123.40 and 457.04

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Solution

The fourth proportional to 750.42, 1,123.40 and 457.04 is: 684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.42 : 1,123.40 = 457.04 : x
  2. Step 2: Convert to fraction form
    750.42/1,123.40 = 457.04/x
  3. Step 3: Cross multiply
    750.42x = 1,123.40 × 457.04
  4. Step 4: Simplify right side
    750.42x = 513,438.74
  5. Step 5: Solve for x
    x = 513,438.74/750.42
  6. Step 6: Final answer
    x = 684.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.