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Finding the Fourth Proportional to 924.89, 1,275.01 and 659.14

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Solution

The fourth proportional to 924.89, 1,275.01 and 659.14 is: 908.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.89 : 1,275.01 = 659.14 : x
  2. Step 2: Convert to fraction form
    924.89/1,275.01 = 659.14/x
  3. Step 3: Cross multiply
    924.89x = 1,275.01 × 659.14
  4. Step 4: Simplify right side
    924.89x = 840,405.26
  5. Step 5: Solve for x
    x = 840,405.26/924.89
  6. Step 6: Final answer
    x = 908.66

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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.