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Finding the Fourth Proportional to 753.64, 1,131.14 and 524

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Solution

The fourth proportional to 753.64, 1,131.14 and 524 is: 786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.64 : 1,131.14 = 524 : x
  2. Step 2: Convert to fraction form
    753.64/1,131.14 = 524/x
  3. Step 3: Cross multiply
    753.64x = 1,131.14 × 524
  4. Step 4: Simplify right side
    753.64x = 592,717.36
  5. Step 5: Solve for x
    x = 592,717.36/753.64
  6. Step 6: Final answer
    x = 786.48

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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.