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Finding the Fourth Proportional to 1,311.82, 1,810.23 and 752.29

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Solution

The fourth proportional to 1,311.82, 1,810.23 and 752.29 is: 1,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.82 : 1,810.23 = 752.29 : x
  2. Step 2: Convert to fraction form
    1,311.82/1,810.23 = 752.29/x
  3. Step 3: Cross multiply
    1,311.82x = 1,810.23 × 752.29
  4. Step 4: Simplify right side
    1,311.82x = 1,361,817.93
  5. Step 5: Solve for x
    x = 1,361,817.93/1,311.82
  6. Step 6: Final answer
    x = 1,038.11

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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.