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Finding the Fourth Proportional to 1,234.77, 1,702.62 and 880.53

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Solution

The fourth proportional to 1,234.77, 1,702.62 and 880.53 is: 1,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.77 : 1,702.62 = 880.53 : x
  2. Step 2: Convert to fraction form
    1,234.77/1,702.62 = 880.53/x
  3. Step 3: Cross multiply
    1,234.77x = 1,702.62 × 880.53
  4. Step 4: Simplify right side
    1,234.77x = 1,499,207.99
  5. Step 5: Solve for x
    x = 1,499,207.99/1,234.77
  6. Step 6: Final answer
    x = 1,214.16

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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.