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Finding the Fourth Proportional to 924.17, 1,387.06 and 779.99

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Solution

The fourth proportional to 924.17, 1,387.06 and 779.99 is: 1,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.17 : 1,387.06 = 779.99 : x
  2. Step 2: Convert to fraction form
    924.17/1,387.06 = 779.99/x
  3. Step 3: Cross multiply
    924.17x = 1,387.06 × 779.99
  4. Step 4: Simplify right side
    924.17x = 1,081,884.04
  5. Step 5: Solve for x
    x = 1,081,884.04/924.17
  6. Step 6: Final answer
    x = 1,170.66

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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.