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Finding the Fourth Proportional to 1,171.51, 1,616.52 and 647.58

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Solution

The fourth proportional to 1,171.51, 1,616.52 and 647.58 is: 893.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.51 : 1,616.52 = 647.58 : x
  2. Step 2: Convert to fraction form
    1,171.51/1,616.52 = 647.58/x
  3. Step 3: Cross multiply
    1,171.51x = 1,616.52 × 647.58
  4. Step 4: Simplify right side
    1,171.51x = 1,046,826.02
  5. Step 5: Solve for x
    x = 1,046,826.02/1,171.51
  6. Step 6: Final answer
    x = 893.57

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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.