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Finding the Fourth Proportional to 1,607.88, 2,412.18 and 567.96

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Solution

The fourth proportional to 1,607.88, 2,412.18 and 567.96 is: 852.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.88 : 2,412.18 = 567.96 : x
  2. Step 2: Convert to fraction form
    1,607.88/2,412.18 = 567.96/x
  3. Step 3: Cross multiply
    1,607.88x = 2,412.18 × 567.96
  4. Step 4: Simplify right side
    1,607.88x = 1,370,021.75
  5. Step 5: Solve for x
    x = 1,370,021.75/1,607.88
  6. Step 6: Final answer
    x = 852.07

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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.