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Finding the Fourth Proportional to 847.95, 1,169.30 and 708.02

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Solution

The fourth proportional to 847.95, 1,169.30 and 708.02 is: 976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.95 : 1,169.30 = 708.02 : x
  2. Step 2: Convert to fraction form
    847.95/1,169.30 = 708.02/x
  3. Step 3: Cross multiply
    847.95x = 1,169.30 × 708.02
  4. Step 4: Simplify right side
    847.95x = 827,894.67
  5. Step 5: Solve for x
    x = 827,894.67/847.95
  6. Step 6: Final answer
    x = 976.35

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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.