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Finding the Fourth Proportional to 1,009.36, 1,516.89 and 598.57

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Solution

The fourth proportional to 1,009.36, 1,516.89 and 598.57 is: 899.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.36 : 1,516.89 = 598.57 : x
  2. Step 2: Convert to fraction form
    1,009.36/1,516.89 = 598.57/x
  3. Step 3: Cross multiply
    1,009.36x = 1,516.89 × 598.57
  4. Step 4: Simplify right side
    1,009.36x = 907,964.85
  5. Step 5: Solve for x
    x = 907,964.85/1,009.36
  6. Step 6: Final answer
    x = 899.55

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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.