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Finding the Fourth Proportional to 1,045, 1,442.10 and 579.34

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Solution

The fourth proportional to 1,045, 1,442.10 and 579.34 is: 799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045 : 1,442.10 = 579.34 : x
  2. Step 2: Convert to fraction form
    1,045/1,442.10 = 579.34/x
  3. Step 3: Cross multiply
    1,045x = 1,442.10 × 579.34
  4. Step 4: Simplify right side
    1,045x = 835,466.21
  5. Step 5: Solve for x
    x = 835,466.21/1,045
  6. Step 6: Final answer
    x = 799.49

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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.