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Finding the Fourth Proportional to 1,409.02, 2,113.89 and 531.58

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Solution

The fourth proportional to 1,409.02, 2,113.89 and 531.58 is: 797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.02 : 2,113.89 = 531.58 : x
  2. Step 2: Convert to fraction form
    1,409.02/2,113.89 = 531.58/x
  3. Step 3: Cross multiply
    1,409.02x = 2,113.89 × 531.58
  4. Step 4: Simplify right side
    1,409.02x = 1,123,701.65
  5. Step 5: Solve for x
    x = 1,123,701.65/1,409.02
  6. Step 6: Final answer
    x = 797.51

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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.