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Finding the Fourth Proportional to 924.93, 1,276.29 and 785.61

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Solution

The fourth proportional to 924.93, 1,276.29 and 785.61 is: 1,084.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.93 : 1,276.29 = 785.61 : x
  2. Step 2: Convert to fraction form
    924.93/1,276.29 = 785.61/x
  3. Step 3: Cross multiply
    924.93x = 1,276.29 × 785.61
  4. Step 4: Simplify right side
    924.93x = 1,002,666.19
  5. Step 5: Solve for x
    x = 1,002,666.19/924.93
  6. Step 6: Final answer
    x = 1,084.05

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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.