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Finding the Fourth Proportional to 951.70, 1,313.40 and 537.70

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Solution

The fourth proportional to 951.70, 1,313.40 and 537.70 is: 742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.70 : 1,313.40 = 537.70 : x
  2. Step 2: Convert to fraction form
    951.70/1,313.40 = 537.70/x
  3. Step 3: Cross multiply
    951.70x = 1,313.40 × 537.70
  4. Step 4: Simplify right side
    951.70x = 706,215.18
  5. Step 5: Solve for x
    x = 706,215.18/951.70
  6. Step 6: Final answer
    x = 742.06

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1.5x scale

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.