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Finding the Fourth Proportional to 715.93, 985.61 and 642.12

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Solution

The fourth proportional to 715.93, 985.61 and 642.12 is: 883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.93 : 985.61 = 642.12 : x
  2. Step 2: Convert to fraction form
    715.93/985.61 = 642.12/x
  3. Step 3: Cross multiply
    715.93x = 985.61 × 642.12
  4. Step 4: Simplify right side
    715.93x = 632,876.06
  5. Step 5: Solve for x
    x = 632,876.06/715.93
  6. Step 6: Final answer
    x = 883.99

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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.