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Finding the Fourth Proportional to 758.88, 1,137.33 and 319.65

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Solution

The fourth proportional to 758.88, 1,137.33 and 319.65 is: 479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.88 : 1,137.33 = 319.65 : x
  2. Step 2: Convert to fraction form
    758.88/1,137.33 = 319.65/x
  3. Step 3: Cross multiply
    758.88x = 1,137.33 × 319.65
  4. Step 4: Simplify right side
    758.88x = 363,547.53
  5. Step 5: Solve for x
    x = 363,547.53/758.88
  6. Step 6: Final answer
    x = 479.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.