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Finding the Fourth Proportional to 1,123.65, 1,685.46 and 393.22

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Solution

The fourth proportional to 1,123.65, 1,685.46 and 393.22 is: 589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.65 : 1,685.46 = 393.22 : x
  2. Step 2: Convert to fraction form
    1,123.65/1,685.46 = 393.22/x
  3. Step 3: Cross multiply
    1,123.65x = 1,685.46 × 393.22
  4. Step 4: Simplify right side
    1,123.65x = 662,756.58
  5. Step 5: Solve for x
    x = 662,756.58/1,123.65
  6. Step 6: Final answer
    x = 589.82

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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.