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Finding the Fourth Proportional to 1,371.06, 2,056.47 and 397.02

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Solution

The fourth proportional to 1,371.06, 2,056.47 and 397.02 is: 595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.06 : 2,056.47 = 397.02 : x
  2. Step 2: Convert to fraction form
    1,371.06/2,056.47 = 397.02/x
  3. Step 3: Cross multiply
    1,371.06x = 2,056.47 × 397.02
  4. Step 4: Simplify right side
    1,371.06x = 816,459.72
  5. Step 5: Solve for x
    x = 816,459.72/1,371.06
  6. Step 6: Final answer
    x = 595.50

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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.