Home / 1,587.46-2,381.68-710.70

Finding the Fourth Proportional to 1,587.46, 2,381.68 and 710.70

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Solution

The fourth proportional to 1,587.46, 2,381.68 and 710.70 is: 1,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.46 : 2,381.68 = 710.70 : x
  2. Step 2: Convert to fraction form
    1,587.46/2,381.68 = 710.70/x
  3. Step 3: Cross multiply
    1,587.46x = 2,381.68 × 710.70
  4. Step 4: Simplify right side
    1,587.46x = 1,692,660.86
  5. Step 5: Solve for x
    x = 1,692,660.86/1,587.46
  6. Step 6: Final answer
    x = 1,066.27

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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.