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Finding the Fourth Proportional to 1,237.19, 1,856.86 and 775.87

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Solution

The fourth proportional to 1,237.19, 1,856.86 and 775.87 is: 1,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.19 : 1,856.86 = 775.87 : x
  2. Step 2: Convert to fraction form
    1,237.19/1,856.86 = 775.87/x
  3. Step 3: Cross multiply
    1,237.19x = 1,856.86 × 775.87
  4. Step 4: Simplify right side
    1,237.19x = 1,440,675.39
  5. Step 5: Solve for x
    x = 1,440,675.39/1,237.19
  6. Step 6: Final answer
    x = 1,164.47

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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.