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Finding the Fourth Proportional to 703.95, 971.73 and 630.14

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Solution

The fourth proportional to 703.95, 971.73 and 630.14 is: 869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.95 : 971.73 = 630.14 : x
  2. Step 2: Convert to fraction form
    703.95/971.73 = 630.14/x
  3. Step 3: Cross multiply
    703.95x = 971.73 × 630.14
  4. Step 4: Simplify right side
    703.95x = 612,322.36
  5. Step 5: Solve for x
    x = 612,322.36/703.95
  6. Step 6: Final answer
    x = 869.84

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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.