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Finding the Fourth Proportional to 1,182.83, 1,773.58 and 813.07

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Solution

The fourth proportional to 1,182.83, 1,773.58 and 813.07 is: 1,219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.83 : 1,773.58 = 813.07 : x
  2. Step 2: Convert to fraction form
    1,182.83/1,773.58 = 813.07/x
  3. Step 3: Cross multiply
    1,182.83x = 1,773.58 × 813.07
  4. Step 4: Simplify right side
    1,182.83x = 1,442,044.69
  5. Step 5: Solve for x
    x = 1,442,044.69/1,182.83
  6. Step 6: Final answer
    x = 1,219.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.