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Finding the Fourth Proportional to 758.09, 1,046.04 and 509.83

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Solution

The fourth proportional to 758.09, 1,046.04 and 509.83 is: 703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.09 : 1,046.04 = 509.83 : x
  2. Step 2: Convert to fraction form
    758.09/1,046.04 = 509.83/x
  3. Step 3: Cross multiply
    758.09x = 1,046.04 × 509.83
  4. Step 4: Simplify right side
    758.09x = 533,297.34
  5. Step 5: Solve for x
    x = 533,297.34/758.09
  6. Step 6: Final answer
    x = 703.47

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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.