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Finding the Fourth Proportional to 1,564.04, 2,345.88 and 638.96

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Solution

The fourth proportional to 1,564.04, 2,345.88 and 638.96 is: 958.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.04 : 2,345.88 = 638.96 : x
  2. Step 2: Convert to fraction form
    1,564.04/2,345.88 = 638.96/x
  3. Step 3: Cross multiply
    1,564.04x = 2,345.88 × 638.96
  4. Step 4: Simplify right side
    1,564.04x = 1,498,923.48
  5. Step 5: Solve for x
    x = 1,498,923.48/1,564.04
  6. Step 6: Final answer
    x = 958.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.