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Finding the Fourth Proportional to 924.48, 1,382.40 and 714.96

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Solution

The fourth proportional to 924.48, 1,382.40 and 714.96 is: 1,069.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.48 : 1,382.40 = 714.96 : x
  2. Step 2: Convert to fraction form
    924.48/1,382.40 = 714.96/x
  3. Step 3: Cross multiply
    924.48x = 1,382.40 × 714.96
  4. Step 4: Simplify right side
    924.48x = 988,360.70
  5. Step 5: Solve for x
    x = 988,360.70/924.48
  6. Step 6: Final answer
    x = 1,069.10

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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.