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Finding the Fourth Proportional to 927.45, 1,387.53 and 708.75

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Solution

The fourth proportional to 927.45, 1,387.53 and 708.75 is: 1,060.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.45 : 1,387.53 = 708.75 : x
  2. Step 2: Convert to fraction form
    927.45/1,387.53 = 708.75/x
  3. Step 3: Cross multiply
    927.45x = 1,387.53 × 708.75
  4. Step 4: Simplify right side
    927.45x = 983,411.89
  5. Step 5: Solve for x
    x = 983,411.89/927.45
  6. Step 6: Final answer
    x = 1,060.34

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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.