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Finding the Fourth Proportional to 1,222.60, 1,833.46 and 645.16

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Solution

The fourth proportional to 1,222.60, 1,833.46 and 645.16 is: 967.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.60 : 1,833.46 = 645.16 : x
  2. Step 2: Convert to fraction form
    1,222.60/1,833.46 = 645.16/x
  3. Step 3: Cross multiply
    1,222.60x = 1,833.46 × 645.16
  4. Step 4: Simplify right side
    1,222.60x = 1,182,875.05
  5. Step 5: Solve for x
    x = 1,182,875.05/1,222.60
  6. Step 6: Final answer
    x = 967.51

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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.