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Finding the Fourth Proportional to 908.24, 1,360.20 and 522.32

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Solution

The fourth proportional to 908.24, 1,360.20 and 522.32 is: 782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.24 : 1,360.20 = 522.32 : x
  2. Step 2: Convert to fraction form
    908.24/1,360.20 = 522.32/x
  3. Step 3: Cross multiply
    908.24x = 1,360.20 × 522.32
  4. Step 4: Simplify right side
    908.24x = 710,459.66
  5. Step 5: Solve for x
    x = 710,459.66/908.24
  6. Step 6: Final answer
    x = 782.24

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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.