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Finding the Fourth Proportional to 751.59, 1,126.03 and 458.93

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Solution

The fourth proportional to 751.59, 1,126.03 and 458.93 is: 687.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.59 : 1,126.03 = 458.93 : x
  2. Step 2: Convert to fraction form
    751.59/1,126.03 = 458.93/x
  3. Step 3: Cross multiply
    751.59x = 1,126.03 × 458.93
  4. Step 4: Simplify right side
    751.59x = 516,768.95
  5. Step 5: Solve for x
    x = 516,768.95/751.59
  6. Step 6: Final answer
    x = 687.57

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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.