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Finding the Fourth Proportional to 703.99, 971.78 and 630.18

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Solution

The fourth proportional to 703.99, 971.78 and 630.18 is: 869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.99 : 971.78 = 630.18 : x
  2. Step 2: Convert to fraction form
    703.99/971.78 = 630.18/x
  3. Step 3: Cross multiply
    703.99x = 971.78 × 630.18
  4. Step 4: Simplify right side
    703.99x = 612,393.89
  5. Step 5: Solve for x
    x = 612,393.89/703.99
  6. Step 6: Final answer
    x = 869.89

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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.