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Finding the Fourth Proportional to 975.99, 1,346.04 and 878.79

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Solution

The fourth proportional to 975.99, 1,346.04 and 878.79 is: 1,211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.99 : 1,346.04 = 878.79 : x
  2. Step 2: Convert to fraction form
    975.99/1,346.04 = 878.79/x
  3. Step 3: Cross multiply
    975.99x = 1,346.04 × 878.79
  4. Step 4: Simplify right side
    975.99x = 1,182,886.49
  5. Step 5: Solve for x
    x = 1,182,886.49/975.99
  6. Step 6: Final answer
    x = 1,211.99

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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.