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Finding the Fourth Proportional to 703.76, 964.14 and 677.48

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Solution

The fourth proportional to 703.76, 964.14 and 677.48 is: 928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.76 : 964.14 = 677.48 : x
  2. Step 2: Convert to fraction form
    703.76/964.14 = 677.48/x
  3. Step 3: Cross multiply
    703.76x = 964.14 × 677.48
  4. Step 4: Simplify right side
    703.76x = 653,182.02
  5. Step 5: Solve for x
    x = 653,182.02/703.76
  6. Step 6: Final answer
    x = 928.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.