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Finding the Fourth Proportional to 585.51, 875.68 and 520.97

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Solution

The fourth proportional to 585.51, 875.68 and 520.97 is: 779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.51 : 875.68 = 520.97 : x
  2. Step 2: Convert to fraction form
    585.51/875.68 = 520.97/x
  3. Step 3: Cross multiply
    585.51x = 875.68 × 520.97
  4. Step 4: Simplify right side
    585.51x = 456,196.03
  5. Step 5: Solve for x
    x = 456,196.03/585.51
  6. Step 6: Final answer
    x = 779.14

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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.