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Finding the Fourth Proportional to 1,124.16, 1,553.24 and 808.80

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Solution

The fourth proportional to 1,124.16, 1,553.24 and 808.80 is: 1,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.16 : 1,553.24 = 808.80 : x
  2. Step 2: Convert to fraction form
    1,124.16/1,553.24 = 808.80/x
  3. Step 3: Cross multiply
    1,124.16x = 1,553.24 × 808.80
  4. Step 4: Simplify right side
    1,124.16x = 1,256,256.71
  5. Step 5: Solve for x
    x = 1,256,256.71/1,124.16
  6. Step 6: Final answer
    x = 1,117.51

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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.