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Finding the Fourth Proportional to 1,148.49, 1,584.95 and 769.71

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Solution

The fourth proportional to 1,148.49, 1,584.95 and 769.71 is: 1,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.49 : 1,584.95 = 769.71 : x
  2. Step 2: Convert to fraction form
    1,148.49/1,584.95 = 769.71/x
  3. Step 3: Cross multiply
    1,148.49x = 1,584.95 × 769.71
  4. Step 4: Simplify right side
    1,148.49x = 1,219,948.02
  5. Step 5: Solve for x
    x = 1,219,948.02/1,148.49
  6. Step 6: Final answer
    x = 1,062.22

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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.