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Finding the Fourth Proportional to 1,402.58, 2,102.31 and 580.40

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Solution

The fourth proportional to 1,402.58, 2,102.31 and 580.40 is: 869.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.58 : 2,102.31 = 580.40 : x
  2. Step 2: Convert to fraction form
    1,402.58/2,102.31 = 580.40/x
  3. Step 3: Cross multiply
    1,402.58x = 2,102.31 × 580.40
  4. Step 4: Simplify right side
    1,402.58x = 1,220,170.21
  5. Step 5: Solve for x
    x = 1,220,170.21/1,402.58
  6. Step 6: Final answer
    x = 869.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.