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Finding the Fourth Proportional to 1,591.32, 2,385.96 and 714.09

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Solution

The fourth proportional to 1,591.32, 2,385.96 and 714.09 is: 1,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.32 : 2,385.96 = 714.09 : x
  2. Step 2: Convert to fraction form
    1,591.32/2,385.96 = 714.09/x
  3. Step 3: Cross multiply
    1,591.32x = 2,385.96 × 714.09
  4. Step 4: Simplify right side
    1,591.32x = 1,703,790.18
  5. Step 5: Solve for x
    x = 1,703,790.18/1,591.32
  6. Step 6: Final answer
    x = 1,070.68

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1.5x scale

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.