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Finding the Fourth Proportional to 1,222.66, 1,834.10 and 400.93

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Solution

The fourth proportional to 1,222.66, 1,834.10 and 400.93 is: 601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.66 : 1,834.10 = 400.93 : x
  2. Step 2: Convert to fraction form
    1,222.66/1,834.10 = 400.93/x
  3. Step 3: Cross multiply
    1,222.66x = 1,834.10 × 400.93
  4. Step 4: Simplify right side
    1,222.66x = 735,345.71
  5. Step 5: Solve for x
    x = 735,345.71/1,222.66
  6. Step 6: Final answer
    x = 601.43

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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.