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Finding the Fourth Proportional to 1,073.68, 1,610.90 and 580.02

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Solution

The fourth proportional to 1,073.68, 1,610.90 and 580.02 is: 870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.68 : 1,610.90 = 580.02 : x
  2. Step 2: Convert to fraction form
    1,073.68/1,610.90 = 580.02/x
  3. Step 3: Cross multiply
    1,073.68x = 1,610.90 × 580.02
  4. Step 4: Simplify right side
    1,073.68x = 934,354.22
  5. Step 5: Solve for x
    x = 934,354.22/1,073.68
  6. Step 6: Final answer
    x = 870.24

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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.