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Finding the Fourth Proportional to 900.14, 1,347.78 and 717.08

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Solution

The fourth proportional to 900.14, 1,347.78 and 717.08 is: 1,073.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.14 : 1,347.78 = 717.08 : x
  2. Step 2: Convert to fraction form
    900.14/1,347.78 = 717.08/x
  3. Step 3: Cross multiply
    900.14x = 1,347.78 × 717.08
  4. Step 4: Simplify right side
    900.14x = 966,466.08
  5. Step 5: Solve for x
    x = 966,466.08/900.14
  6. Step 6: Final answer
    x = 1,073.68

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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.