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Finding the Fourth Proportional to 1,102.36, 1,654.50 and 589.72

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Solution

The fourth proportional to 1,102.36, 1,654.50 and 589.72 is: 885.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.36 : 1,654.50 = 589.72 : x
  2. Step 2: Convert to fraction form
    1,102.36/1,654.50 = 589.72/x
  3. Step 3: Cross multiply
    1,102.36x = 1,654.50 × 589.72
  4. Step 4: Simplify right side
    1,102.36x = 975,691.74
  5. Step 5: Solve for x
    x = 975,691.74/1,102.36
  6. Step 6: Final answer
    x = 885.09

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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.