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Finding the Fourth Proportional to 817.50, 1,127.85 and 522.93

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Solution

The fourth proportional to 817.50, 1,127.85 and 522.93 is: 721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.50 : 1,127.85 = 522.93 : x
  2. Step 2: Convert to fraction form
    817.50/1,127.85 = 522.93/x
  3. Step 3: Cross multiply
    817.50x = 1,127.85 × 522.93
  4. Step 4: Simplify right side
    817.50x = 589,786.60
  5. Step 5: Solve for x
    x = 589,786.60/817.50
  6. Step 6: Final answer
    x = 721.45

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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.