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Finding the Fourth Proportional to 900.20, 1,347.08 and 653.69

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Solution

The fourth proportional to 900.20, 1,347.08 and 653.69 is: 978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.20 : 1,347.08 = 653.69 : x
  2. Step 2: Convert to fraction form
    900.20/1,347.08 = 653.69/x
  3. Step 3: Cross multiply
    900.20x = 1,347.08 × 653.69
  4. Step 4: Simplify right side
    900.20x = 880,567.62
  5. Step 5: Solve for x
    x = 880,567.62/900.20
  6. Step 6: Final answer
    x = 978.20

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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.