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Finding the Fourth Proportional to 1,665.16, 2,498.19 and 569.61

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Solution

The fourth proportional to 1,665.16, 2,498.19 and 569.61 is: 854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.16 : 2,498.19 = 569.61 : x
  2. Step 2: Convert to fraction form
    1,665.16/2,498.19 = 569.61/x
  3. Step 3: Cross multiply
    1,665.16x = 2,498.19 × 569.61
  4. Step 4: Simplify right side
    1,665.16x = 1,422,994.01
  5. Step 5: Solve for x
    x = 1,422,994.01/1,665.16
  6. Step 6: Final answer
    x = 854.57

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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.