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Finding the Fourth Proportional to 1,587.95, 2,381.67 and 433.43

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Solution

The fourth proportional to 1,587.95, 2,381.67 and 433.43 is: 650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.95 : 2,381.67 = 433.43 : x
  2. Step 2: Convert to fraction form
    1,587.95/2,381.67 = 433.43/x
  3. Step 3: Cross multiply
    1,587.95x = 2,381.67 × 433.43
  4. Step 4: Simplify right side
    1,587.95x = 1,032,287.23
  5. Step 5: Solve for x
    x = 1,032,287.23/1,587.95
  6. Step 6: Final answer
    x = 650.08

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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.