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Finding the Fourth Proportional to 1,587.86, 2,381.84 and 477.26

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Solution

The fourth proportional to 1,587.86, 2,381.84 and 477.26 is: 715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.86 : 2,381.84 = 477.26 : x
  2. Step 2: Convert to fraction form
    1,587.86/2,381.84 = 477.26/x
  3. Step 3: Cross multiply
    1,587.86x = 2,381.84 × 477.26
  4. Step 4: Simplify right side
    1,587.86x = 1,136,756.96
  5. Step 5: Solve for x
    x = 1,136,756.96/1,587.86
  6. Step 6: Final answer
    x = 715.91

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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.