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Finding the Fourth Proportional to 895.59, 1,235.28 and 865.48

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Solution

The fourth proportional to 895.59, 1,235.28 and 865.48 is: 1,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.59 : 1,235.28 = 865.48 : x
  2. Step 2: Convert to fraction form
    895.59/1,235.28 = 865.48/x
  3. Step 3: Cross multiply
    895.59x = 1,235.28 × 865.48
  4. Step 4: Simplify right side
    895.59x = 1,069,110.13
  5. Step 5: Solve for x
    x = 1,069,110.13/895.59
  6. Step 6: Final answer
    x = 1,193.75

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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.