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Finding the Fourth Proportional to 1,029.34, 1,419.90 and 714.04

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Solution

The fourth proportional to 1,029.34, 1,419.90 and 714.04 is: 984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.34 : 1,419.90 = 714.04 : x
  2. Step 2: Convert to fraction form
    1,029.34/1,419.90 = 714.04/x
  3. Step 3: Cross multiply
    1,029.34x = 1,419.90 × 714.04
  4. Step 4: Simplify right side
    1,029.34x = 1,013,865.40
  5. Step 5: Solve for x
    x = 1,013,865.40/1,029.34
  6. Step 6: Final answer
    x = 984.97

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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.