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Finding the Fourth Proportional to 985.79, 1,360.44 and 653.65

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Solution

The fourth proportional to 985.79, 1,360.44 and 653.65 is: 902.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.79 : 1,360.44 = 653.65 : x
  2. Step 2: Convert to fraction form
    985.79/1,360.44 = 653.65/x
  3. Step 3: Cross multiply
    985.79x = 1,360.44 × 653.65
  4. Step 4: Simplify right side
    985.79x = 889,248.20
  5. Step 5: Solve for x
    x = 889,248.20/985.79
  6. Step 6: Final answer
    x = 902.06

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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.