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Finding the Fourth Proportional to 1,565, 2,348.31 and 795.50

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Solution

The fourth proportional to 1,565, 2,348.31 and 795.50 is: 1,193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565 : 2,348.31 = 795.50 : x
  2. Step 2: Convert to fraction form
    1,565/2,348.31 = 795.50/x
  3. Step 3: Cross multiply
    1,565x = 2,348.31 × 795.50
  4. Step 4: Simplify right side
    1,565x = 1,868,080.61
  5. Step 5: Solve for x
    x = 1,868,080.61/1,565
  6. Step 6: Final answer
    x = 1,193.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.