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Finding the Fourth Proportional to 1,030.08, 1,544.64 and 380.64

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Solution

The fourth proportional to 1,030.08, 1,544.64 and 380.64 is: 570.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.08 : 1,544.64 = 380.64 : x
  2. Step 2: Convert to fraction form
    1,030.08/1,544.64 = 380.64/x
  3. Step 3: Cross multiply
    1,030.08x = 1,544.64 × 380.64
  4. Step 4: Simplify right side
    1,030.08x = 587,951.77
  5. Step 5: Solve for x
    x = 587,951.77/1,030.08
  6. Step 6: Final answer
    x = 570.78

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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.