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Finding the Fourth Proportional to 1,009.18, 1,513.20 and 598.59

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Solution

The fourth proportional to 1,009.18, 1,513.20 and 598.59 is: 897.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.18 : 1,513.20 = 598.59 : x
  2. Step 2: Convert to fraction form
    1,009.18/1,513.20 = 598.59/x
  3. Step 3: Cross multiply
    1,009.18x = 1,513.20 × 598.59
  4. Step 4: Simplify right side
    1,009.18x = 905,786.39
  5. Step 5: Solve for x
    x = 905,786.39/1,009.18
  6. Step 6: Final answer
    x = 897.55

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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.