Home / 1,265.72-1,746.53-706.22

Finding the Fourth Proportional to 1,265.72, 1,746.53 and 706.22

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Solution

The fourth proportional to 1,265.72, 1,746.53 and 706.22 is: 974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.72 : 1,746.53 = 706.22 : x
  2. Step 2: Convert to fraction form
    1,265.72/1,746.53 = 706.22/x
  3. Step 3: Cross multiply
    1,265.72x = 1,746.53 × 706.22
  4. Step 4: Simplify right side
    1,265.72x = 1,233,427.45
  5. Step 5: Solve for x
    x = 1,233,427.45/1,265.72
  6. Step 6: Final answer
    x = 974.49

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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.