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Finding the Fourth Proportional to 925.65, 1,275.50 and 714.54

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Solution

The fourth proportional to 925.65, 1,275.50 and 714.54 is: 984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.65 : 1,275.50 = 714.54 : x
  2. Step 2: Convert to fraction form
    925.65/1,275.50 = 714.54/x
  3. Step 3: Cross multiply
    925.65x = 1,275.50 × 714.54
  4. Step 4: Simplify right side
    925.65x = 911,392.20
  5. Step 5: Solve for x
    x = 911,392.20/925.65
  6. Step 6: Final answer
    x = 984.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.