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Finding the Fourth Proportional to 900.54, 1,242.90 and 653

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Solution

The fourth proportional to 900.54, 1,242.90 and 653 is: 901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.54 : 1,242.90 = 653 : x
  2. Step 2: Convert to fraction form
    900.54/1,242.90 = 653/x
  3. Step 3: Cross multiply
    900.54x = 1,242.90 × 653
  4. Step 4: Simplify right side
    900.54x = 811,613.70
  5. Step 5: Solve for x
    x = 811,613.70/900.54
  6. Step 6: Final answer
    x = 901.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.