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Finding the Fourth Proportional to 1,476.50, 2,213.58 and 551.93

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Solution

The fourth proportional to 1,476.50, 2,213.58 and 551.93 is: 827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.50 : 2,213.58 = 551.93 : x
  2. Step 2: Convert to fraction form
    1,476.50/2,213.58 = 551.93/x
  3. Step 3: Cross multiply
    1,476.50x = 2,213.58 × 551.93
  4. Step 4: Simplify right side
    1,476.50x = 1,221,730.14
  5. Step 5: Solve for x
    x = 1,221,730.14/1,476.50
  6. Step 6: Final answer
    x = 827.45

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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.