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Finding the Fourth Proportional to 1,565.71, 2,346.53 and 640.21

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Solution

The fourth proportional to 1,565.71, 2,346.53 and 640.21 is: 959.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.71 : 2,346.53 = 640.21 : x
  2. Step 2: Convert to fraction form
    1,565.71/2,346.53 = 640.21/x
  3. Step 3: Cross multiply
    1,565.71x = 2,346.53 × 640.21
  4. Step 4: Simplify right side
    1,565.71x = 1,502,271.97
  5. Step 5: Solve for x
    x = 1,502,271.97/1,565.71
  6. Step 6: Final answer
    x = 959.48

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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.