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Finding the Fourth Proportional to 1,308.61, 1,803.99 and 865.77

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Solution

The fourth proportional to 1,308.61, 1,803.99 and 865.77 is: 1,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.61 : 1,803.99 = 865.77 : x
  2. Step 2: Convert to fraction form
    1,308.61/1,803.99 = 865.77/x
  3. Step 3: Cross multiply
    1,308.61x = 1,803.99 × 865.77
  4. Step 4: Simplify right side
    1,308.61x = 1,561,840.42
  5. Step 5: Solve for x
    x = 1,561,840.42/1,308.61
  6. Step 6: Final answer
    x = 1,193.51

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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.