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Finding the Fourth Proportional to 1,476.73, 2,214.64 and 502.61

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Solution

The fourth proportional to 1,476.73, 2,214.64 and 502.61 is: 753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.73 : 2,214.64 = 502.61 : x
  2. Step 2: Convert to fraction form
    1,476.73/2,214.64 = 502.61/x
  3. Step 3: Cross multiply
    1,476.73x = 2,214.64 × 502.61
  4. Step 4: Simplify right side
    1,476.73x = 1,113,089.77
  5. Step 5: Solve for x
    x = 1,113,089.77/1,476.73
  6. Step 6: Final answer
    x = 753.75

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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.