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Finding the Fourth Proportional to 972.93, 1,458.31 and 510.76

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Solution

The fourth proportional to 972.93, 1,458.31 and 510.76 is: 765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.93 : 1,458.31 = 510.76 : x
  2. Step 2: Convert to fraction form
    972.93/1,458.31 = 510.76/x
  3. Step 3: Cross multiply
    972.93x = 1,458.31 × 510.76
  4. Step 4: Simplify right side
    972.93x = 744,841.49
  5. Step 5: Solve for x
    x = 744,841.49/972.93
  6. Step 6: Final answer
    x = 765.57

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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.