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Finding the Fourth Proportional to 898.49, 1,345.80 and 623.27

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Solution

The fourth proportional to 898.49, 1,345.80 and 623.27 is: 933.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.49 : 1,345.80 = 623.27 : x
  2. Step 2: Convert to fraction form
    898.49/1,345.80 = 623.27/x
  3. Step 3: Cross multiply
    898.49x = 1,345.80 × 623.27
  4. Step 4: Simplify right side
    898.49x = 838,796.77
  5. Step 5: Solve for x
    x = 838,796.77/898.49
  6. Step 6: Final answer
    x = 933.56

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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.