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Finding the Fourth Proportional to 1,184.93, 1,635.29 and 653.92

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Solution

The fourth proportional to 1,184.93, 1,635.29 and 653.92 is: 902.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.93 : 1,635.29 = 653.92 : x
  2. Step 2: Convert to fraction form
    1,184.93/1,635.29 = 653.92/x
  3. Step 3: Cross multiply
    1,184.93x = 1,635.29 × 653.92
  4. Step 4: Simplify right side
    1,184.93x = 1,069,353.13
  5. Step 5: Solve for x
    x = 1,069,353.13/1,184.93
  6. Step 6: Final answer
    x = 902.46

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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.