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Finding the Fourth Proportional to 1,139.59, 1,709.38 and 652.30

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Solution

The fourth proportional to 1,139.59, 1,709.38 and 652.30 is: 978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.59 : 1,709.38 = 652.30 : x
  2. Step 2: Convert to fraction form
    1,139.59/1,709.38 = 652.30/x
  3. Step 3: Cross multiply
    1,139.59x = 1,709.38 × 652.30
  4. Step 4: Simplify right side
    1,139.59x = 1,115,025.12
  5. Step 5: Solve for x
    x = 1,115,025.12/1,139.59
  6. Step 6: Final answer
    x = 978.44

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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.