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Finding the Fourth Proportional to 1,102.47, 1,653.99 and 981.55

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Solution

The fourth proportional to 1,102.47, 1,653.99 and 981.55 is: 1,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.47 : 1,653.99 = 981.55 : x
  2. Step 2: Convert to fraction form
    1,102.47/1,653.99 = 981.55/x
  3. Step 3: Cross multiply
    1,102.47x = 1,653.99 × 981.55
  4. Step 4: Simplify right side
    1,102.47x = 1,623,473.88
  5. Step 5: Solve for x
    x = 1,623,473.88/1,102.47
  6. Step 6: Final answer
    x = 1,472.58

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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.