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Finding the Fourth Proportional to 1,045.64, 1,443.04 and 579.90

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Solution

The fourth proportional to 1,045.64, 1,443.04 and 579.90 is: 800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.64 : 1,443.04 = 579.90 : x
  2. Step 2: Convert to fraction form
    1,045.64/1,443.04 = 579.90/x
  3. Step 3: Cross multiply
    1,045.64x = 1,443.04 × 579.90
  4. Step 4: Simplify right side
    1,045.64x = 836,818.90
  5. Step 5: Solve for x
    x = 836,818.90/1,045.64
  6. Step 6: Final answer
    x = 800.29

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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.