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Finding the Fourth Proportional to 817.07, 1,127.55 and 467.75

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Solution

The fourth proportional to 817.07, 1,127.55 and 467.75 is: 645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.07 : 1,127.55 = 467.75 : x
  2. Step 2: Convert to fraction form
    817.07/1,127.55 = 467.75/x
  3. Step 3: Cross multiply
    817.07x = 1,127.55 × 467.75
  4. Step 4: Simplify right side
    817.07x = 527,411.51
  5. Step 5: Solve for x
    x = 527,411.51/817.07
  6. Step 6: Final answer
    x = 645.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.