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Finding the Fourth Proportional to 870.88, 1,201.36 and 591.02

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Solution

The fourth proportional to 870.88, 1,201.36 and 591.02 is: 815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.88 : 1,201.36 = 591.02 : x
  2. Step 2: Convert to fraction form
    870.88/1,201.36 = 591.02/x
  3. Step 3: Cross multiply
    870.88x = 1,201.36 × 591.02
  4. Step 4: Simplify right side
    870.88x = 710,027.79
  5. Step 5: Solve for x
    x = 710,027.79/870.88
  6. Step 6: Final answer
    x = 815.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.