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Finding the Fourth Proportional to 841.89, 1,161.02 and 593.42

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Solution

The fourth proportional to 841.89, 1,161.02 and 593.42 is: 818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.89 : 1,161.02 = 593.42 : x
  2. Step 2: Convert to fraction form
    841.89/1,161.02 = 593.42/x
  3. Step 3: Cross multiply
    841.89x = 1,161.02 × 593.42
  4. Step 4: Simplify right side
    841.89x = 688,969.52
  5. Step 5: Solve for x
    x = 688,969.52/841.89
  6. Step 6: Final answer
    x = 818.36

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Double scale
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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.