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Finding the Fourth Proportional to 1,123.66, 1,685.28 and 343.46

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Solution

The fourth proportional to 1,123.66, 1,685.28 and 343.46 is: 515.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.66 : 1,685.28 = 343.46 : x
  2. Step 2: Convert to fraction form
    1,123.66/1,685.28 = 343.46/x
  3. Step 3: Cross multiply
    1,123.66x = 1,685.28 × 343.46
  4. Step 4: Simplify right side
    1,123.66x = 578,826.27
  5. Step 5: Solve for x
    x = 578,826.27/1,123.66
  6. Step 6: Final answer
    x = 515.13

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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.