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Finding the Fourth Proportional to 703.16, 1,049.68 and 654.56

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Solution

The fourth proportional to 703.16, 1,049.68 and 654.56 is: 977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.16 : 1,049.68 = 654.56 : x
  2. Step 2: Convert to fraction form
    703.16/1,049.68 = 654.56/x
  3. Step 3: Cross multiply
    703.16x = 1,049.68 × 654.56
  4. Step 4: Simplify right side
    703.16x = 687,078.54
  5. Step 5: Solve for x
    x = 687,078.54/703.16
  6. Step 6: Final answer
    x = 977.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.