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Finding the Fourth Proportional to 841.42, 1,160.83 and 522.24

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Solution

The fourth proportional to 841.42, 1,160.83 and 522.24 is: 720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.42 : 1,160.83 = 522.24 : x
  2. Step 2: Convert to fraction form
    841.42/1,160.83 = 522.24/x
  3. Step 3: Cross multiply
    841.42x = 1,160.83 × 522.24
  4. Step 4: Simplify right side
    841.42x = 606,226.06
  5. Step 5: Solve for x
    x = 606,226.06/841.42
  6. Step 6: Final answer
    x = 720.48

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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.