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Finding the Fourth Proportional to 874.96, 1,208.48 and 581.60

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Solution

The fourth proportional to 874.96, 1,208.48 and 581.60 is: 803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.96 : 1,208.48 = 581.60 : x
  2. Step 2: Convert to fraction form
    874.96/1,208.48 = 581.60/x
  3. Step 3: Cross multiply
    874.96x = 1,208.48 × 581.60
  4. Step 4: Simplify right side
    874.96x = 702,851.97
  5. Step 5: Solve for x
    x = 702,851.97/874.96
  6. Step 6: Final answer
    x = 803.30

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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.