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Finding the Fourth Proportional to 1,008.59, 1,513.33 and 684.47

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Solution

The fourth proportional to 1,008.59, 1,513.33 and 684.47 is: 1,027.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.59 : 1,513.33 = 684.47 : x
  2. Step 2: Convert to fraction form
    1,008.59/1,513.33 = 684.47/x
  3. Step 3: Cross multiply
    1,008.59x = 1,513.33 × 684.47
  4. Step 4: Simplify right side
    1,008.59x = 1,035,831.06
  5. Step 5: Solve for x
    x = 1,035,831.06/1,008.59
  6. Step 6: Final answer
    x = 1,027.01

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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.