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Finding the Fourth Proportional to 1,224.18, 1,689.57 and 830.94

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Solution

The fourth proportional to 1,224.18, 1,689.57 and 830.94 is: 1,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.18 : 1,689.57 = 830.94 : x
  2. Step 2: Convert to fraction form
    1,224.18/1,689.57 = 830.94/x
  3. Step 3: Cross multiply
    1,224.18x = 1,689.57 × 830.94
  4. Step 4: Simplify right side
    1,224.18x = 1,403,931.30
  5. Step 5: Solve for x
    x = 1,403,931.30/1,224.18
  6. Step 6: Final answer
    x = 1,146.83

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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.