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Finding the Fourth Proportional to 1,177.06, 1,764.96 and 902.47

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Solution

The fourth proportional to 1,177.06, 1,764.96 and 902.47 is: 1,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.06 : 1,764.96 = 902.47 : x
  2. Step 2: Convert to fraction form
    1,177.06/1,764.96 = 902.47/x
  3. Step 3: Cross multiply
    1,177.06x = 1,764.96 × 902.47
  4. Step 4: Simplify right side
    1,177.06x = 1,592,823.45
  5. Step 5: Solve for x
    x = 1,592,823.45/1,177.06
  6. Step 6: Final answer
    x = 1,353.22

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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.