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Finding the Fourth Proportional to 1,784.74, 2,677.37 and 552.25

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Solution

The fourth proportional to 1,784.74, 2,677.37 and 552.25 is: 828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.74 : 2,677.37 = 552.25 : x
  2. Step 2: Convert to fraction form
    1,784.74/2,677.37 = 552.25/x
  3. Step 3: Cross multiply
    1,784.74x = 2,677.37 × 552.25
  4. Step 4: Simplify right side
    1,784.74x = 1,478,577.58
  5. Step 5: Solve for x
    x = 1,478,577.58/1,784.74
  6. Step 6: Final answer
    x = 828.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.