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Finding the Fourth Proportional to 1,126.46, 1,690.14 and 433.45

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Solution

The fourth proportional to 1,126.46, 1,690.14 and 433.45 is: 650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.46 : 1,690.14 = 433.45 : x
  2. Step 2: Convert to fraction form
    1,126.46/1,690.14 = 433.45/x
  3. Step 3: Cross multiply
    1,126.46x = 1,690.14 × 433.45
  4. Step 4: Simplify right side
    1,126.46x = 732,591.18
  5. Step 5: Solve for x
    x = 732,591.18/1,126.46
  6. Step 6: Final answer
    x = 650.35

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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.