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Finding the Fourth Proportional to 2,059.25, 3,088.88 and 520.25

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Solution

The fourth proportional to 2,059.25, 3,088.88 and 520.25 is: 780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.25 : 3,088.88 = 520.25 : x
  2. Step 2: Convert to fraction form
    2,059.25/3,088.88 = 520.25/x
  3. Step 3: Cross multiply
    2,059.25x = 3,088.88 × 520.25
  4. Step 4: Simplify right side
    2,059.25x = 1,606,989.82
  5. Step 5: Solve for x
    x = 1,606,989.82/2,059.25
  6. Step 6: Final answer
    x = 780.38

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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.