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Finding the Fourth Proportional to 1,265.64, 1,746.57 and 741.57

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Solution

The fourth proportional to 1,265.64, 1,746.57 and 741.57 is: 1,023.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.64 : 1,746.57 = 741.57 : x
  2. Step 2: Convert to fraction form
    1,265.64/1,746.57 = 741.57/x
  3. Step 3: Cross multiply
    1,265.64x = 1,746.57 × 741.57
  4. Step 4: Simplify right side
    1,265.64x = 1,295,203.91
  5. Step 5: Solve for x
    x = 1,295,203.91/1,265.64
  6. Step 6: Final answer
    x = 1,023.36

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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.