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Finding the Fourth Proportional to 1,113.88, 1,670.84 and 654.88

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Solution

The fourth proportional to 1,113.88, 1,670.84 and 654.88 is: 982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.88 : 1,670.84 = 654.88 : x
  2. Step 2: Convert to fraction form
    1,113.88/1,670.84 = 654.88/x
  3. Step 3: Cross multiply
    1,113.88x = 1,670.84 × 654.88
  4. Step 4: Simplify right side
    1,113.88x = 1,094,199.70
  5. Step 5: Solve for x
    x = 1,094,199.70/1,113.88
  6. Step 6: Final answer
    x = 982.33

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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.