Home / 1,265.85-1,746.66-706.14

Finding the Fourth Proportional to 1,265.85, 1,746.66 and 706.14

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Solution

The fourth proportional to 1,265.85, 1,746.66 and 706.14 is: 974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.85 : 1,746.66 = 706.14 : x
  2. Step 2: Convert to fraction form
    1,265.85/1,746.66 = 706.14/x
  3. Step 3: Cross multiply
    1,265.85x = 1,746.66 × 706.14
  4. Step 4: Simplify right side
    1,265.85x = 1,233,386.49
  5. Step 5: Solve for x
    x = 1,233,386.49/1,265.85
  6. Step 6: Final answer
    x = 974.35

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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.