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Finding the Fourth Proportional to 1,666.32, 2,497.75 and 570.09

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Solution

The fourth proportional to 1,666.32, 2,497.75 and 570.09 is: 854.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.32 : 2,497.75 = 570.09 : x
  2. Step 2: Convert to fraction form
    1,666.32/2,497.75 = 570.09/x
  3. Step 3: Cross multiply
    1,666.32x = 2,497.75 × 570.09
  4. Step 4: Simplify right side
    1,666.32x = 1,423,939.40
  5. Step 5: Solve for x
    x = 1,423,939.40/1,666.32
  6. Step 6: Final answer
    x = 854.54

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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.