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Finding the Fourth Proportional to 775.82, 1,158.01 and 710.87

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Solution

The fourth proportional to 775.82, 1,158.01 and 710.87 is: 1,061.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.82 : 1,158.01 = 710.87 : x
  2. Step 2: Convert to fraction form
    775.82/1,158.01 = 710.87/x
  3. Step 3: Cross multiply
    775.82x = 1,158.01 × 710.87
  4. Step 4: Simplify right side
    775.82x = 823,194.57
  5. Step 5: Solve for x
    x = 823,194.57/775.82
  6. Step 6: Final answer
    x = 1,061.06

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1.5x scale

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.