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Finding the Fourth Proportional to 1,541.08, 2,311.62 and 718.39

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Solution

The fourth proportional to 1,541.08, 2,311.62 and 718.39 is: 1,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.08 : 2,311.62 = 718.39 : x
  2. Step 2: Convert to fraction form
    1,541.08/2,311.62 = 718.39/x
  3. Step 3: Cross multiply
    1,541.08x = 2,311.62 × 718.39
  4. Step 4: Simplify right side
    1,541.08x = 1,660,644.69
  5. Step 5: Solve for x
    x = 1,660,644.69/1,541.08
  6. Step 6: Final answer
    x = 1,077.59

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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.