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Finding the Fourth Proportional to 740.02, 1,020.72 and 429.52

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Solution

The fourth proportional to 740.02, 1,020.72 and 429.52 is: 592.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.02 : 1,020.72 = 429.52 : x
  2. Step 2: Convert to fraction form
    740.02/1,020.72 = 429.52/x
  3. Step 3: Cross multiply
    740.02x = 1,020.72 × 429.52
  4. Step 4: Simplify right side
    740.02x = 438,419.65
  5. Step 5: Solve for x
    x = 438,419.65/740.02
  6. Step 6: Final answer
    x = 592.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.