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Finding the Fourth Proportional to 671.67, 1,006.45 and 569.16

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Solution

The fourth proportional to 671.67, 1,006.45 and 569.16 is: 852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.67 : 1,006.45 = 569.16 : x
  2. Step 2: Convert to fraction form
    671.67/1,006.45 = 569.16/x
  3. Step 3: Cross multiply
    671.67x = 1,006.45 × 569.16
  4. Step 4: Simplify right side
    671.67x = 572,829.66
  5. Step 5: Solve for x
    x = 572,829.66/671.67
  6. Step 6: Final answer
    x = 852.84

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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.