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Finding the Fourth Proportional to 1,124.01, 1,689.38 and 930.26

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Solution

The fourth proportional to 1,124.01, 1,689.38 and 930.26 is: 1,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.01 : 1,689.38 = 930.26 : x
  2. Step 2: Convert to fraction form
    1,124.01/1,689.38 = 930.26/x
  3. Step 3: Cross multiply
    1,124.01x = 1,689.38 × 930.26
  4. Step 4: Simplify right side
    1,124.01x = 1,571,549.54
  5. Step 5: Solve for x
    x = 1,571,549.54/1,124.01
  6. Step 6: Final answer
    x = 1,398.17

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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.