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Finding the Fourth Proportional to 1,030.46, 1,544.47 and 380.43

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Solution

The fourth proportional to 1,030.46, 1,544.47 and 380.43 is: 570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.46 : 1,544.47 = 380.43 : x
  2. Step 2: Convert to fraction form
    1,030.46/1,544.47 = 380.43/x
  3. Step 3: Cross multiply
    1,030.46x = 1,544.47 × 380.43
  4. Step 4: Simplify right side
    1,030.46x = 587,561.77
  5. Step 5: Solve for x
    x = 587,561.77/1,030.46
  6. Step 6: Final answer
    x = 570.20

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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.