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Finding the Fourth Proportional to 1,373.88, 1,895.54 and 814.44

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Solution

The fourth proportional to 1,373.88, 1,895.54 and 814.44 is: 1,123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.88 : 1,895.54 = 814.44 : x
  2. Step 2: Convert to fraction form
    1,373.88/1,895.54 = 814.44/x
  3. Step 3: Cross multiply
    1,373.88x = 1,895.54 × 814.44
  4. Step 4: Simplify right side
    1,373.88x = 1,543,803.60
  5. Step 5: Solve for x
    x = 1,543,803.60/1,373.88
  6. Step 6: Final answer
    x = 1,123.68

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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.