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Finding the Fourth Proportional to 1,265.77, 1,746.74 and 706.30

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Solution

The fourth proportional to 1,265.77, 1,746.74 and 706.30 is: 974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.77 : 1,746.74 = 706.30 : x
  2. Step 2: Convert to fraction form
    1,265.77/1,746.74 = 706.30/x
  3. Step 3: Cross multiply
    1,265.77x = 1,746.74 × 706.30
  4. Step 4: Simplify right side
    1,265.77x = 1,233,720.33
  5. Step 5: Solve for x
    x = 1,233,720.33/1,265.77
  6. Step 6: Final answer
    x = 974.68

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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.