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Finding the Fourth Proportional to 703.83, 970.25 and 455.13

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Solution

The fourth proportional to 703.83, 970.25 and 455.13 is: 627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.83 : 970.25 = 455.13 : x
  2. Step 2: Convert to fraction form
    703.83/970.25 = 455.13/x
  3. Step 3: Cross multiply
    703.83x = 970.25 × 455.13
  4. Step 4: Simplify right side
    703.83x = 441,587.61
  5. Step 5: Solve for x
    x = 441,587.61/703.83
  6. Step 6: Final answer
    x = 627.41

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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.