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Finding the Fourth Proportional to 703.52, 971.04 and 467.87

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Solution

The fourth proportional to 703.52, 971.04 and 467.87 is: 645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.52 : 971.04 = 467.87 : x
  2. Step 2: Convert to fraction form
    703.52/971.04 = 467.87/x
  3. Step 3: Cross multiply
    703.52x = 971.04 × 467.87
  4. Step 4: Simplify right side
    703.52x = 454,315.63
  5. Step 5: Solve for x
    x = 454,315.63/703.52
  6. Step 6: Final answer
    x = 645.78

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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.