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Finding the Fourth Proportional to 701.96, 970.45 and 527.00

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Solution

The fourth proportional to 701.96, 970.45 and 527.00 is: 728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.96 : 970.45 = 527.00 : x
  2. Step 2: Convert to fraction form
    701.96/970.45 = 527.00/x
  3. Step 3: Cross multiply
    701.96x = 970.45 × 527.00
  4. Step 4: Simplify right side
    701.96x = 511,420.98
  5. Step 5: Solve for x
    x = 511,420.98/701.96
  6. Step 6: Final answer
    x = 728.57

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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.