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Finding the Fourth Proportional to 758.31, 1,045.95 and 478.89

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Solution

The fourth proportional to 758.31, 1,045.95 and 478.89 is: 660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.31 : 1,045.95 = 478.89 : x
  2. Step 2: Convert to fraction form
    758.31/1,045.95 = 478.89/x
  3. Step 3: Cross multiply
    758.31x = 1,045.95 × 478.89
  4. Step 4: Simplify right side
    758.31x = 500,895.00
  5. Step 5: Solve for x
    x = 500,895.00/758.31
  6. Step 6: Final answer
    x = 660.54

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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.