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Finding the Fourth Proportional to 817.48, 1,128.09 and 468.10

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Solution

The fourth proportional to 817.48, 1,128.09 and 468.10 is: 645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.48 : 1,128.09 = 468.10 : x
  2. Step 2: Convert to fraction form
    817.48/1,128.09 = 468.10/x
  3. Step 3: Cross multiply
    817.48x = 1,128.09 × 468.10
  4. Step 4: Simplify right side
    817.48x = 528,058.93
  5. Step 5: Solve for x
    x = 528,058.93/817.48
  6. Step 6: Final answer
    x = 645.96

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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.