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Finding the Fourth Proportional to 653.00, 900.61 and 574.14

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Solution

The fourth proportional to 653.00, 900.61 and 574.14 is: 791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.00 : 900.61 = 574.14 : x
  2. Step 2: Convert to fraction form
    653.00/900.61 = 574.14/x
  3. Step 3: Cross multiply
    653.00x = 900.61 × 574.14
  4. Step 4: Simplify right side
    653.00x = 517,073.35
  5. Step 5: Solve for x
    x = 517,073.35/653.00
  6. Step 6: Final answer
    x = 791.85

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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.