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Finding the Fourth Proportional to 714.68, 986.87 and 465.90

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Solution

The fourth proportional to 714.68, 986.87 and 465.90 is: 643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.68 : 986.87 = 465.90 : x
  2. Step 2: Convert to fraction form
    714.68/986.87 = 465.90/x
  3. Step 3: Cross multiply
    714.68x = 986.87 × 465.90
  4. Step 4: Simplify right side
    714.68x = 459,780.40
  5. Step 5: Solve for x
    x = 459,780.40/714.68
  6. Step 6: Final answer
    x = 643.34

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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.