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Finding the Fourth Proportional to 758.34, 1,046.85 and 509.82

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Solution

The fourth proportional to 758.34, 1,046.85 and 509.82 is: 703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.34 : 1,046.85 = 509.82 : x
  2. Step 2: Convert to fraction form
    758.34/1,046.85 = 509.82/x
  3. Step 3: Cross multiply
    758.34x = 1,046.85 × 509.82
  4. Step 4: Simplify right side
    758.34x = 533,705.07
  5. Step 5: Solve for x
    x = 533,705.07/758.34
  6. Step 6: Final answer
    x = 703.78

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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.