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Finding the Fourth Proportional to 922.30, 1,272.16 and 590.20

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Solution

The fourth proportional to 922.30, 1,272.16 and 590.20 is: 814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.30 : 1,272.16 = 590.20 : x
  2. Step 2: Convert to fraction form
    922.30/1,272.16 = 590.20/x
  3. Step 3: Cross multiply
    922.30x = 1,272.16 × 590.20
  4. Step 4: Simplify right side
    922.30x = 750,828.83
  5. Step 5: Solve for x
    x = 750,828.83/922.30
  6. Step 6: Final answer
    x = 814.08

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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.