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Finding the Fourth Proportional to 1,476.76, 2,215.37 and 502.79

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Solution

The fourth proportional to 1,476.76, 2,215.37 and 502.79 is: 754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.76 : 2,215.37 = 502.79 : x
  2. Step 2: Convert to fraction form
    1,476.76/2,215.37 = 502.79/x
  3. Step 3: Cross multiply
    1,476.76x = 2,215.37 × 502.79
  4. Step 4: Simplify right side
    1,476.76x = 1,113,852.29
  5. Step 5: Solve for x
    x = 1,113,852.29/1,476.76
  6. Step 6: Final answer
    x = 754.26

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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.