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Finding the Fourth Proportional to 701.64, 968.58 and 527.04

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Solution

The fourth proportional to 701.64, 968.58 and 527.04 is: 727.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.64 : 968.58 = 527.04 : x
  2. Step 2: Convert to fraction form
    701.64/968.58 = 527.04/x
  3. Step 3: Cross multiply
    701.64x = 968.58 × 527.04
  4. Step 4: Simplify right side
    701.64x = 510,480.40
  5. Step 5: Solve for x
    x = 510,480.40/701.64
  6. Step 6: Final answer
    x = 727.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.