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Finding the Fourth Proportional to 1,124.44, 1,683.15 and 714.04

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Solution

The fourth proportional to 1,124.44, 1,683.15 and 714.04 is: 1,068.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.44 : 1,683.15 = 714.04 : x
  2. Step 2: Convert to fraction form
    1,124.44/1,683.15 = 714.04/x
  3. Step 3: Cross multiply
    1,124.44x = 1,683.15 × 714.04
  4. Step 4: Simplify right side
    1,124.44x = 1,201,836.43
  5. Step 5: Solve for x
    x = 1,201,836.43/1,124.44
  6. Step 6: Final answer
    x = 1,068.83

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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.