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Finding the Fourth Proportional to 758.03, 1,045.95 and 477.78

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Solution

The fourth proportional to 758.03, 1,045.95 and 477.78 is: 659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.03 : 1,045.95 = 477.78 : x
  2. Step 2: Convert to fraction form
    758.03/1,045.95 = 477.78/x
  3. Step 3: Cross multiply
    758.03x = 1,045.95 × 477.78
  4. Step 4: Simplify right side
    758.03x = 499,733.99
  5. Step 5: Solve for x
    x = 499,733.99/758.03
  6. Step 6: Final answer
    x = 659.25

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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.