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Finding the Fourth Proportional to 1,061.31, 1,464.61 and 647.31

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Solution

The fourth proportional to 1,061.31, 1,464.61 and 647.31 is: 893.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.31 : 1,464.61 = 647.31 : x
  2. Step 2: Convert to fraction form
    1,061.31/1,464.61 = 647.31/x
  3. Step 3: Cross multiply
    1,061.31x = 1,464.61 × 647.31
  4. Step 4: Simplify right side
    1,061.31x = 948,056.70
  5. Step 5: Solve for x
    x = 948,056.70/1,061.31
  6. Step 6: Final answer
    x = 893.29

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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.