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Finding the Fourth Proportional to 900.54, 1,349.79 and 462.00

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Solution

The fourth proportional to 900.54, 1,349.79 and 462.00 is: 692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.54 : 1,349.79 = 462.00 : x
  2. Step 2: Convert to fraction form
    900.54/1,349.79 = 462.00/x
  3. Step 3: Cross multiply
    900.54x = 1,349.79 × 462.00
  4. Step 4: Simplify right side
    900.54x = 623,607.61
  5. Step 5: Solve for x
    x = 623,607.61/900.54
  6. Step 6: Final answer
    x = 692.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.