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Finding the Fourth Proportional to 749.12, 1,124.16 and 459.52

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Solution

The fourth proportional to 749.12, 1,124.16 and 459.52 is: 689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.12 : 1,124.16 = 459.52 : x
  2. Step 2: Convert to fraction form
    749.12/1,124.16 = 459.52/x
  3. Step 3: Cross multiply
    749.12x = 1,124.16 × 459.52
  4. Step 4: Simplify right side
    749.12x = 516,574.00
  5. Step 5: Solve for x
    x = 516,574.00/749.12
  6. Step 6: Final answer
    x = 689.57

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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.