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Finding the Fourth Proportional to 962.98, 1,444.06 and 701.35

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Solution

The fourth proportional to 962.98, 1,444.06 and 701.35 is: 1,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.98 : 1,444.06 = 701.35 : x
  2. Step 2: Convert to fraction form
    962.98/1,444.06 = 701.35/x
  3. Step 3: Cross multiply
    962.98x = 1,444.06 × 701.35
  4. Step 4: Simplify right side
    962.98x = 1,012,791.48
  5. Step 5: Solve for x
    x = 1,012,791.48/962.98
  6. Step 6: Final answer
    x = 1,051.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.