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Finding the Fourth Proportional to 700.44, 966.92 and 542.68

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Solution

The fourth proportional to 700.44, 966.92 and 542.68 is: 749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.44 : 966.92 = 542.68 : x
  2. Step 2: Convert to fraction form
    700.44/966.92 = 542.68/x
  3. Step 3: Cross multiply
    700.44x = 966.92 × 542.68
  4. Step 4: Simplify right side
    700.44x = 524,728.15
  5. Step 5: Solve for x
    x = 524,728.15/700.44
  6. Step 6: Final answer
    x = 749.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.