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Finding the Fourth Proportional to 1,207.16, 1,808.96 and 590.16

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Solution

The fourth proportional to 1,207.16, 1,808.96 and 590.16 is: 884.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.16 : 1,808.96 = 590.16 : x
  2. Step 2: Convert to fraction form
    1,207.16/1,808.96 = 590.16/x
  3. Step 3: Cross multiply
    1,207.16x = 1,808.96 × 590.16
  4. Step 4: Simplify right side
    1,207.16x = 1,067,575.83
  5. Step 5: Solve for x
    x = 1,067,575.83/1,207.16
  6. Step 6: Final answer
    x = 884.37

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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.