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Finding the Fourth Proportional to 701.83, 968.70 and 524.98

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Solution

The fourth proportional to 701.83, 968.70 and 524.98 is: 724.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.83 : 968.70 = 524.98 : x
  2. Step 2: Convert to fraction form
    701.83/968.70 = 524.98/x
  3. Step 3: Cross multiply
    701.83x = 968.70 × 524.98
  4. Step 4: Simplify right side
    701.83x = 508,548.13
  5. Step 5: Solve for x
    x = 508,548.13/701.83
  6. Step 6: Final answer
    x = 724.60

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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.