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Finding the Fourth Proportional to 1,171.71, 1,616.88 and 647.74

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Solution

The fourth proportional to 1,171.71, 1,616.88 and 647.74 is: 893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.71 : 1,616.88 = 647.74 : x
  2. Step 2: Convert to fraction form
    1,171.71/1,616.88 = 647.74/x
  3. Step 3: Cross multiply
    1,171.71x = 1,616.88 × 647.74
  4. Step 4: Simplify right side
    1,171.71x = 1,047,317.85
  5. Step 5: Solve for x
    x = 1,047,317.85/1,171.71
  6. Step 6: Final answer
    x = 893.84

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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.