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Finding the Fourth Proportional to 1,284.85, 1,773.57 and 813.57

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Solution

The fourth proportional to 1,284.85, 1,773.57 and 813.57 is: 1,123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.85 : 1,773.57 = 813.57 : x
  2. Step 2: Convert to fraction form
    1,284.85/1,773.57 = 813.57/x
  3. Step 3: Cross multiply
    1,284.85x = 1,773.57 × 813.57
  4. Step 4: Simplify right side
    1,284.85x = 1,442,923.34
  5. Step 5: Solve for x
    x = 1,442,923.34/1,284.85
  6. Step 6: Final answer
    x = 1,123.03

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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.