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Finding the Fourth Proportional to 758.12, 1,045.82 and 571.32

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Solution

The fourth proportional to 758.12, 1,045.82 and 571.32 is: 788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.12 : 1,045.82 = 571.32 : x
  2. Step 2: Convert to fraction form
    758.12/1,045.82 = 571.32/x
  3. Step 3: Cross multiply
    758.12x = 1,045.82 × 571.32
  4. Step 4: Simplify right side
    758.12x = 597,497.88
  5. Step 5: Solve for x
    x = 597,497.88/758.12
  6. Step 6: Final answer
    x = 788.13

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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.