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Finding the Fourth Proportional to 1,047.22, 1,569.61 and 468.88

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Solution

The fourth proportional to 1,047.22, 1,569.61 and 468.88 is: 702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.22 : 1,569.61 = 468.88 : x
  2. Step 2: Convert to fraction form
    1,047.22/1,569.61 = 468.88/x
  3. Step 3: Cross multiply
    1,047.22x = 1,569.61 × 468.88
  4. Step 4: Simplify right side
    1,047.22x = 735,958.74
  5. Step 5: Solve for x
    x = 735,958.74/1,047.22
  6. Step 6: Final answer
    x = 702.77

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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.