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Finding the Fourth Proportional to 1,476.44, 2,214.48 and 784.52

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Solution

The fourth proportional to 1,476.44, 2,214.48 and 784.52 is: 1,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.44 : 2,214.48 = 784.52 : x
  2. Step 2: Convert to fraction form
    1,476.44/2,214.48 = 784.52/x
  3. Step 3: Cross multiply
    1,476.44x = 2,214.48 × 784.52
  4. Step 4: Simplify right side
    1,476.44x = 1,737,303.85
  5. Step 5: Solve for x
    x = 1,737,303.85/1,476.44
  6. Step 6: Final answer
    x = 1,176.68

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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.