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Finding the Fourth Proportional to 1,140.81, 1,709.56 and 652.87

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Solution

The fourth proportional to 1,140.81, 1,709.56 and 652.87 is: 978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.81 : 1,709.56 = 652.87 : x
  2. Step 2: Convert to fraction form
    1,140.81/1,709.56 = 652.87/x
  3. Step 3: Cross multiply
    1,140.81x = 1,709.56 × 652.87
  4. Step 4: Simplify right side
    1,140.81x = 1,116,120.44
  5. Step 5: Solve for x
    x = 1,116,120.44/1,140.81
  6. Step 6: Final answer
    x = 978.36

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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.