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Finding the Fourth Proportional to 1,237.05, 1,856.40 and 963.66

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Solution

The fourth proportional to 1,237.05, 1,856.40 and 963.66 is: 1,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.05 : 1,856.40 = 963.66 : x
  2. Step 2: Convert to fraction form
    1,237.05/1,856.40 = 963.66/x
  3. Step 3: Cross multiply
    1,237.05x = 1,856.40 × 963.66
  4. Step 4: Simplify right side
    1,237.05x = 1,788,938.42
  5. Step 5: Solve for x
    x = 1,788,938.42/1,237.05
  6. Step 6: Final answer
    x = 1,446.13

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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.