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Finding the Fourth Proportional to 1,397.34, 1,927.47 and 873.27

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Solution

The fourth proportional to 1,397.34, 1,927.47 and 873.27 is: 1,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.34 : 1,927.47 = 873.27 : x
  2. Step 2: Convert to fraction form
    1,397.34/1,927.47 = 873.27/x
  3. Step 3: Cross multiply
    1,397.34x = 1,927.47 × 873.27
  4. Step 4: Simplify right side
    1,397.34x = 1,683,201.73
  5. Step 5: Solve for x
    x = 1,683,201.73/1,397.34
  6. Step 6: Final answer
    x = 1,204.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.