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Finding the Fourth Proportional to 817.36, 1,127.52 and 522.48

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Solution

The fourth proportional to 817.36, 1,127.52 and 522.48 is: 720.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.36 : 1,127.52 = 522.48 : x
  2. Step 2: Convert to fraction form
    817.36/1,127.52 = 522.48/x
  3. Step 3: Cross multiply
    817.36x = 1,127.52 × 522.48
  4. Step 4: Simplify right side
    817.36x = 589,106.65
  5. Step 5: Solve for x
    x = 589,106.65/817.36
  6. Step 6: Final answer
    x = 720.74

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1.5x scale

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.