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Finding the Fourth Proportional to 772.92, 1,066.80 and 536.80

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Solution

The fourth proportional to 772.92, 1,066.80 and 536.80 is: 740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.92 : 1,066.80 = 536.80 : x
  2. Step 2: Convert to fraction form
    772.92/1,066.80 = 536.80/x
  3. Step 3: Cross multiply
    772.92x = 1,066.80 × 536.80
  4. Step 4: Simplify right side
    772.92x = 572,658.24
  5. Step 5: Solve for x
    x = 572,658.24/772.92
  6. Step 6: Final answer
    x = 740.90

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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.