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Finding the Fourth Proportional to 817.61, 1,225.83 and 384.53

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Solution

The fourth proportional to 817.61, 1,225.83 and 384.53 is: 576.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.61 : 1,225.83 = 384.53 : x
  2. Step 2: Convert to fraction form
    817.61/1,225.83 = 384.53/x
  3. Step 3: Cross multiply
    817.61x = 1,225.83 × 384.53
  4. Step 4: Simplify right side
    817.61x = 471,368.41
  5. Step 5: Solve for x
    x = 471,368.41/817.61
  6. Step 6: Final answer
    x = 576.52

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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.