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Finding the Fourth Proportional to 585.80, 876.12 and 521.26

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Solution

The fourth proportional to 585.80, 876.12 and 521.26 is: 779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.80 : 876.12 = 521.26 : x
  2. Step 2: Convert to fraction form
    585.80/876.12 = 521.26/x
  3. Step 3: Cross multiply
    585.80x = 876.12 × 521.26
  4. Step 4: Simplify right side
    585.80x = 456,686.31
  5. Step 5: Solve for x
    x = 456,686.31/585.80
  6. Step 6: Final answer
    x = 779.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.