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Finding the Fourth Proportional to 1,360.45, 1,875.40 and 986.83

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Solution

The fourth proportional to 1,360.45, 1,875.40 and 986.83 is: 1,360.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.45 : 1,875.40 = 986.83 : x
  2. Step 2: Convert to fraction form
    1,360.45/1,875.40 = 986.83/x
  3. Step 3: Cross multiply
    1,360.45x = 1,875.40 × 986.83
  4. Step 4: Simplify right side
    1,360.45x = 1,850,709.93
  5. Step 5: Solve for x
    x = 1,850,709.93/1,360.45
  6. Step 6: Final answer
    x = 1,360.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.