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Finding the Fourth Proportional to 1,265.95, 1,746.66 and 741.88

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Solution

The fourth proportional to 1,265.95, 1,746.66 and 741.88 is: 1,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.95 : 1,746.66 = 741.88 : x
  2. Step 2: Convert to fraction form
    1,265.95/1,746.66 = 741.88/x
  3. Step 3: Cross multiply
    1,265.95x = 1,746.66 × 741.88
  4. Step 4: Simplify right side
    1,265.95x = 1,295,812.12
  5. Step 5: Solve for x
    x = 1,295,812.12/1,265.95
  6. Step 6: Final answer
    x = 1,023.59

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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.