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Finding the Fourth Proportional to 758.12, 1,045.93 and 496.29

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Solution

The fourth proportional to 758.12, 1,045.93 and 496.29 is: 684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.12 : 1,045.93 = 496.29 : x
  2. Step 2: Convert to fraction form
    758.12/1,045.93 = 496.29/x
  3. Step 3: Cross multiply
    758.12x = 1,045.93 × 496.29
  4. Step 4: Simplify right side
    758.12x = 519,079.37
  5. Step 5: Solve for x
    x = 519,079.37/758.12
  6. Step 6: Final answer
    x = 684.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.