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Finding the Fourth Proportional to 510.47, 765.71 and 125.72

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Solution

The fourth proportional to 510.47, 765.71 and 125.72 is: 188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.47 : 765.71 = 125.72 : x
  2. Step 2: Convert to fraction form
    510.47/765.71 = 125.72/x
  3. Step 3: Cross multiply
    510.47x = 765.71 × 125.72
  4. Step 4: Simplify right side
    510.47x = 96,267.29
  5. Step 5: Solve for x
    x = 96,267.29/510.47
  6. Step 6: Final answer
    x = 188.58

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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.