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Finding the Fourth Proportional to 1,686.95, 2,531.57 and 591.33

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Solution

The fourth proportional to 1,686.95, 2,531.57 and 591.33 is: 887.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.95 : 2,531.57 = 591.33 : x
  2. Step 2: Convert to fraction form
    1,686.95/2,531.57 = 591.33/x
  3. Step 3: Cross multiply
    1,686.95x = 2,531.57 × 591.33
  4. Step 4: Simplify right side
    1,686.95x = 1,496,993.29
  5. Step 5: Solve for x
    x = 1,496,993.29/1,686.95
  6. Step 6: Final answer
    x = 887.40

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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.