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Finding the Fourth Proportional to 714.40, 992.60 and 705.48

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Solution

The fourth proportional to 714.40, 992.60 and 705.48 is: 980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.40 : 992.60 = 705.48 : x
  2. Step 2: Convert to fraction form
    714.40/992.60 = 705.48/x
  3. Step 3: Cross multiply
    714.40x = 992.60 × 705.48
  4. Step 4: Simplify right side
    714.40x = 700,259.45
  5. Step 5: Solve for x
    x = 700,259.45/714.40
  6. Step 6: Final answer
    x = 980.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.