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Finding the Fourth Proportional to 1,045.36, 1,442.62 and 579.64

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Solution

The fourth proportional to 1,045.36, 1,442.62 and 579.64 is: 799.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.36 : 1,442.62 = 579.64 : x
  2. Step 2: Convert to fraction form
    1,045.36/1,442.62 = 579.64/x
  3. Step 3: Cross multiply
    1,045.36x = 1,442.62 × 579.64
  4. Step 4: Simplify right side
    1,045.36x = 836,200.26
  5. Step 5: Solve for x
    x = 836,200.26/1,045.36
  6. Step 6: Final answer
    x = 799.92

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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.