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Finding the Fourth Proportional to 693, 956.34 and 509.32

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Solution

The fourth proportional to 693, 956.34 and 509.32 is: 702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    693 : 956.34 = 509.32 : x
  2. Step 2: Convert to fraction form
    693/956.34 = 509.32/x
  3. Step 3: Cross multiply
    693x = 956.34 × 509.32
  4. Step 4: Simplify right side
    693x = 487,083.09
  5. Step 5: Solve for x
    x = 487,083.09/693
  6. Step 6: Final answer
    x = 702.86

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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.