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Finding the Fourth Proportional to 1,229.18, 1,695.74 and 705.11

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Solution

The fourth proportional to 1,229.18, 1,695.74 and 705.11 is: 972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.18 : 1,695.74 = 705.11 : x
  2. Step 2: Convert to fraction form
    1,229.18/1,695.74 = 705.11/x
  3. Step 3: Cross multiply
    1,229.18x = 1,695.74 × 705.11
  4. Step 4: Simplify right side
    1,229.18x = 1,195,671.23
  5. Step 5: Solve for x
    x = 1,195,671.23/1,229.18
  6. Step 6: Final answer
    x = 972.74

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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.