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Finding the Fourth Proportional to 1,604.78, 2,407.08 and 564.38

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Solution

The fourth proportional to 1,604.78, 2,407.08 and 564.38 is: 846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.78 : 2,407.08 = 564.38 : x
  2. Step 2: Convert to fraction form
    1,604.78/2,407.08 = 564.38/x
  3. Step 3: Cross multiply
    1,604.78x = 2,407.08 × 564.38
  4. Step 4: Simplify right side
    1,604.78x = 1,358,507.81
  5. Step 5: Solve for x
    x = 1,358,507.81/1,604.78
  6. Step 6: Final answer
    x = 846.54

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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.