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Finding the Fourth Proportional to 970.35, 1,452.67 and 640.68

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Solution

The fourth proportional to 970.35, 1,452.67 and 640.68 is: 959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.35 : 1,452.67 = 640.68 : x
  2. Step 2: Convert to fraction form
    970.35/1,452.67 = 640.68/x
  3. Step 3: Cross multiply
    970.35x = 1,452.67 × 640.68
  4. Step 4: Simplify right side
    970.35x = 930,695.01
  5. Step 5: Solve for x
    x = 930,695.01/970.35
  6. Step 6: Final answer
    x = 959.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.