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Finding the Fourth Proportional to 1,137.04, 1,702.28 and 771.17

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Solution

The fourth proportional to 1,137.04, 1,702.28 and 771.17 is: 1,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.04 : 1,702.28 = 771.17 : x
  2. Step 2: Convert to fraction form
    1,137.04/1,702.28 = 771.17/x
  3. Step 3: Cross multiply
    1,137.04x = 1,702.28 × 771.17
  4. Step 4: Simplify right side
    1,137.04x = 1,312,740.68
  5. Step 5: Solve for x
    x = 1,312,740.68/1,137.04
  6. Step 6: Final answer
    x = 1,154.53

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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.