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Finding the Fourth Proportional to 706.16, 974.76 and 531.20

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Solution

The fourth proportional to 706.16, 974.76 and 531.20 is: 733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.16 : 974.76 = 531.20 : x
  2. Step 2: Convert to fraction form
    706.16/974.76 = 531.20/x
  3. Step 3: Cross multiply
    706.16x = 974.76 × 531.20
  4. Step 4: Simplify right side
    706.16x = 517,792.51
  5. Step 5: Solve for x
    x = 517,792.51/706.16
  6. Step 6: Final answer
    x = 733.25

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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.