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Finding the Fourth Proportional to 899.25, 1,347.12 and 590.16

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Solution

The fourth proportional to 899.25, 1,347.12 and 590.16 is: 884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.25 : 1,347.12 = 590.16 : x
  2. Step 2: Convert to fraction form
    899.25/1,347.12 = 590.16/x
  3. Step 3: Cross multiply
    899.25x = 1,347.12 × 590.16
  4. Step 4: Simplify right side
    899.25x = 795,016.34
  5. Step 5: Solve for x
    x = 795,016.34/899.25
  6. Step 6: Final answer
    x = 884.09

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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.