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Finding the Fourth Proportional to 1,801.13, 2,701.71 and 646.88

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Solution

The fourth proportional to 1,801.13, 2,701.71 and 646.88 is: 970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.13 : 2,701.71 = 646.88 : x
  2. Step 2: Convert to fraction form
    1,801.13/2,701.71 = 646.88/x
  3. Step 3: Cross multiply
    1,801.13x = 2,701.71 × 646.88
  4. Step 4: Simplify right side
    1,801.13x = 1,747,668.66
  5. Step 5: Solve for x
    x = 1,747,668.66/1,801.13
  6. Step 6: Final answer
    x = 970.32

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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.