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Finding the Fourth Proportional to 1,132.74, 1,564.11 and 784.44

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Solution

The fourth proportional to 1,132.74, 1,564.11 and 784.44 is: 1,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.74 : 1,564.11 = 784.44 : x
  2. Step 2: Convert to fraction form
    1,132.74/1,564.11 = 784.44/x
  3. Step 3: Cross multiply
    1,132.74x = 1,564.11 × 784.44
  4. Step 4: Simplify right side
    1,132.74x = 1,226,950.45
  5. Step 5: Solve for x
    x = 1,226,950.45/1,132.74
  6. Step 6: Final answer
    x = 1,083.17

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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.