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Finding the Fourth Proportional to 1,345.23, 1,856.46 and 814.02

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Solution

The fourth proportional to 1,345.23, 1,856.46 and 814.02 is: 1,123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.23 : 1,856.46 = 814.02 : x
  2. Step 2: Convert to fraction form
    1,345.23/1,856.46 = 814.02/x
  3. Step 3: Cross multiply
    1,345.23x = 1,856.46 × 814.02
  4. Step 4: Simplify right side
    1,345.23x = 1,511,188.20
  5. Step 5: Solve for x
    x = 1,511,188.20/1,345.23
  6. Step 6: Final answer
    x = 1,123.37

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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.