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Finding the Fourth Proportional to 1,271.55, 1,905.47 and 722.55

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Solution

The fourth proportional to 1,271.55, 1,905.47 and 722.55 is: 1,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.55 : 1,905.47 = 722.55 : x
  2. Step 2: Convert to fraction form
    1,271.55/1,905.47 = 722.55/x
  3. Step 3: Cross multiply
    1,271.55x = 1,905.47 × 722.55
  4. Step 4: Simplify right side
    1,271.55x = 1,376,793.74
  5. Step 5: Solve for x
    x = 1,376,793.74/1,271.55
  6. Step 6: Final answer
    x = 1,082.77

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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.