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Finding the Fourth Proportional to 1,029.60, 1,419.84 and 710.43

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Solution

The fourth proportional to 1,029.60, 1,419.84 and 710.43 is: 979.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.60 : 1,419.84 = 710.43 : x
  2. Step 2: Convert to fraction form
    1,029.60/1,419.84 = 710.43/x
  3. Step 3: Cross multiply
    1,029.60x = 1,419.84 × 710.43
  4. Step 4: Simplify right side
    1,029.60x = 1,008,702.59
  5. Step 5: Solve for x
    x = 1,008,702.59/1,029.60
  6. Step 6: Final answer
    x = 979.70

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Why These Related Problems?

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