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Finding the Fourth Proportional to 1,264.92, 1,743.32 and 970.58

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Solution

The fourth proportional to 1,264.92, 1,743.32 and 970.58 is: 1,337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.92 : 1,743.32 = 970.58 : x
  2. Step 2: Convert to fraction form
    1,264.92/1,743.32 = 970.58/x
  3. Step 3: Cross multiply
    1,264.92x = 1,743.32 × 970.58
  4. Step 4: Simplify right side
    1,264.92x = 1,692,031.53
  5. Step 5: Solve for x
    x = 1,692,031.53/1,264.92
  6. Step 6: Final answer
    x = 1,337.66

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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.