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Finding the Fourth Proportional to 1,484.81, 2,227.13 and 510.89

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Solution

The fourth proportional to 1,484.81, 2,227.13 and 510.89 is: 766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.81 : 2,227.13 = 510.89 : x
  2. Step 2: Convert to fraction form
    1,484.81/2,227.13 = 510.89/x
  3. Step 3: Cross multiply
    1,484.81x = 2,227.13 × 510.89
  4. Step 4: Simplify right side
    1,484.81x = 1,137,818.45
  5. Step 5: Solve for x
    x = 1,137,818.45/1,484.81
  6. Step 6: Final answer
    x = 766.31

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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.