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Finding the Fourth Proportional to 1,126.66, 1,689.72 and 944.14

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Solution

The fourth proportional to 1,126.66, 1,689.72 and 944.14 is: 1,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.66 : 1,689.72 = 944.14 : x
  2. Step 2: Convert to fraction form
    1,126.66/1,689.72 = 944.14/x
  3. Step 3: Cross multiply
    1,126.66x = 1,689.72 × 944.14
  4. Step 4: Simplify right side
    1,126.66x = 1,595,332.24
  5. Step 5: Solve for x
    x = 1,595,332.24/1,126.66
  6. Step 6: Final answer
    x = 1,415.98

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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.