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Finding the Fourth Proportional to 1,003.86, 1,506.02 and 387.57

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Solution

The fourth proportional to 1,003.86, 1,506.02 and 387.57 is: 581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.86 : 1,506.02 = 387.57 : x
  2. Step 2: Convert to fraction form
    1,003.86/1,506.02 = 387.57/x
  3. Step 3: Cross multiply
    1,003.86x = 1,506.02 × 387.57
  4. Step 4: Simplify right side
    1,003.86x = 583,688.17
  5. Step 5: Solve for x
    x = 583,688.17/1,003.86
  6. Step 6: Final answer
    x = 581.44

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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.