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Finding the Fourth Proportional to 900.54, 1,349.46 and 669.06

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Solution

The fourth proportional to 900.54, 1,349.46 and 669.06 is: 1,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.54 : 1,349.46 = 669.06 : x
  2. Step 2: Convert to fraction form
    900.54/1,349.46 = 669.06/x
  3. Step 3: Cross multiply
    900.54x = 1,349.46 × 669.06
  4. Step 4: Simplify right side
    900.54x = 902,869.71
  5. Step 5: Solve for x
    x = 902,869.71/900.54
  6. Step 6: Final answer
    x = 1,002.59

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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.