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Finding the Fourth Proportional to 757.83, 1,045.62 and 442.91

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Solution

The fourth proportional to 757.83, 1,045.62 and 442.91 is: 611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.83 : 1,045.62 = 442.91 : x
  2. Step 2: Convert to fraction form
    757.83/1,045.62 = 442.91/x
  3. Step 3: Cross multiply
    757.83x = 1,045.62 × 442.91
  4. Step 4: Simplify right side
    757.83x = 463,118.17
  5. Step 5: Solve for x
    x = 463,118.17/757.83
  6. Step 6: Final answer
    x = 611.11

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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.