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Finding the Fourth Proportional to 1,587.77, 2,381.75 and 613.87

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Solution

The fourth proportional to 1,587.77, 2,381.75 and 613.87 is: 920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.77 : 2,381.75 = 613.87 : x
  2. Step 2: Convert to fraction form
    1,587.77/2,381.75 = 613.87/x
  3. Step 3: Cross multiply
    1,587.77x = 2,381.75 × 613.87
  4. Step 4: Simplify right side
    1,587.77x = 1,462,084.87
  5. Step 5: Solve for x
    x = 1,462,084.87/1,587.77
  6. Step 6: Final answer
    x = 920.84

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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.