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Finding the Fourth Proportional to 667.51, 998.89 and 585.02

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Solution

The fourth proportional to 667.51, 998.89 and 585.02 is: 875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.51 : 998.89 = 585.02 : x
  2. Step 2: Convert to fraction form
    667.51/998.89 = 585.02/x
  3. Step 3: Cross multiply
    667.51x = 998.89 × 585.02
  4. Step 4: Simplify right side
    667.51x = 584,370.63
  5. Step 5: Solve for x
    x = 584,370.63/667.51
  6. Step 6: Final answer
    x = 875.45

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Why These Related Problems?

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