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Finding the Fourth Proportional to 1,233.01, 1,701.57 and 708.94

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Solution

The fourth proportional to 1,233.01, 1,701.57 and 708.94 is: 978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.01 : 1,701.57 = 708.94 : x
  2. Step 2: Convert to fraction form
    1,233.01/1,701.57 = 708.94/x
  3. Step 3: Cross multiply
    1,233.01x = 1,701.57 × 708.94
  4. Step 4: Simplify right side
    1,233.01x = 1,206,311.04
  5. Step 5: Solve for x
    x = 1,206,311.04/1,233.01
  6. Step 6: Final answer
    x = 978.35

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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.