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Finding the Fourth Proportional to 1,135.46, 1,566.78 and 693.20

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Solution

The fourth proportional to 1,135.46, 1,566.78 and 693.20 is: 956.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.46 : 1,566.78 = 693.20 : x
  2. Step 2: Convert to fraction form
    1,135.46/1,566.78 = 693.20/x
  3. Step 3: Cross multiply
    1,135.46x = 1,566.78 × 693.20
  4. Step 4: Simplify right side
    1,135.46x = 1,086,091.90
  5. Step 5: Solve for x
    x = 1,086,091.90/1,135.46
  6. Step 6: Final answer
    x = 956.52

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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.