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Finding the Fourth Proportional to 1,539.39, 2,308.80 and 718.05

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Solution

The fourth proportional to 1,539.39, 2,308.80 and 718.05 is: 1,076.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.39 : 2,308.80 = 718.05 : x
  2. Step 2: Convert to fraction form
    1,539.39/2,308.80 = 718.05/x
  3. Step 3: Cross multiply
    1,539.39x = 2,308.80 × 718.05
  4. Step 4: Simplify right side
    1,539.39x = 1,657,833.84
  5. Step 5: Solve for x
    x = 1,657,833.84/1,539.39
  6. Step 6: Final answer
    x = 1,076.94

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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.