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Finding the Fourth Proportional to 1,160.49, 1,726.32 and 1,148.76

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Solution

The fourth proportional to 1,160.49, 1,726.32 and 1,148.76 is: 1,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.49 : 1,726.32 = 1,148.76 : x
  2. Step 2: Convert to fraction form
    1,160.49/1,726.32 = 1,148.76/x
  3. Step 3: Cross multiply
    1,160.49x = 1,726.32 × 1,148.76
  4. Step 4: Simplify right side
    1,160.49x = 1,983,127.36
  5. Step 5: Solve for x
    x = 1,983,127.36/1,160.49
  6. Step 6: Final answer
    x = 1,708.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.