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Finding the Fourth Proportional to 1,564.41, 2,345.24 and 640.10

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Solution

The fourth proportional to 1,564.41, 2,345.24 and 640.10 is: 959.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.41 : 2,345.24 = 640.10 : x
  2. Step 2: Convert to fraction form
    1,564.41/2,345.24 = 640.10/x
  3. Step 3: Cross multiply
    1,564.41x = 2,345.24 × 640.10
  4. Step 4: Simplify right side
    1,564.41x = 1,501,188.12
  5. Step 5: Solve for x
    x = 1,501,188.12/1,564.41
  6. Step 6: Final answer
    x = 959.59

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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.