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Finding the Fourth Proportional to 1,144.81, 1,579.77 and 647.61

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Solution

The fourth proportional to 1,144.81, 1,579.77 and 647.61 is: 893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.81 : 1,579.77 = 647.61 : x
  2. Step 2: Convert to fraction form
    1,144.81/1,579.77 = 647.61/x
  3. Step 3: Cross multiply
    1,144.81x = 1,579.77 × 647.61
  4. Step 4: Simplify right side
    1,144.81x = 1,023,068.93
  5. Step 5: Solve for x
    x = 1,023,068.93/1,144.81
  6. Step 6: Final answer
    x = 893.66

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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.