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Finding the Fourth Proportional to 1,664.64, 2,497.49 and 569.01

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Solution

The fourth proportional to 1,664.64, 2,497.49 and 569.01 is: 853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.64 : 2,497.49 = 569.01 : x
  2. Step 2: Convert to fraction form
    1,664.64/2,497.49 = 569.01/x
  3. Step 3: Cross multiply
    1,664.64x = 2,497.49 × 569.01
  4. Step 4: Simplify right side
    1,664.64x = 1,421,093.94
  5. Step 5: Solve for x
    x = 1,421,093.94/1,664.64
  6. Step 6: Final answer
    x = 853.69

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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.