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Finding the Fourth Proportional to 750.01, 1,124.10 and 456.59

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Solution

The fourth proportional to 750.01, 1,124.10 and 456.59 is: 684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.01 : 1,124.10 = 456.59 : x
  2. Step 2: Convert to fraction form
    750.01/1,124.10 = 456.59/x
  3. Step 3: Cross multiply
    750.01x = 1,124.10 × 456.59
  4. Step 4: Simplify right side
    750.01x = 513,250.59
  5. Step 5: Solve for x
    x = 513,250.59/750.01
  6. Step 6: Final answer
    x = 684.33

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