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Finding the Fourth Proportional to 1,126.29, 1,689.44 and 578.17

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Solution

The fourth proportional to 1,126.29, 1,689.44 and 578.17 is: 867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.29 : 1,689.44 = 578.17 : x
  2. Step 2: Convert to fraction form
    1,126.29/1,689.44 = 578.17/x
  3. Step 3: Cross multiply
    1,126.29x = 1,689.44 × 578.17
  4. Step 4: Simplify right side
    1,126.29x = 976,776.41
  5. Step 5: Solve for x
    x = 976,776.41/1,126.29
  6. Step 6: Final answer
    x = 867.25

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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.