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Finding the Fourth Proportional to 898.54, 1,347.44 and 378.76

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Solution

The fourth proportional to 898.54, 1,347.44 and 378.76 is: 567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.54 : 1,347.44 = 378.76 : x
  2. Step 2: Convert to fraction form
    898.54/1,347.44 = 378.76/x
  3. Step 3: Cross multiply
    898.54x = 1,347.44 × 378.76
  4. Step 4: Simplify right side
    898.54x = 510,356.37
  5. Step 5: Solve for x
    x = 510,356.37/898.54
  6. Step 6: Final answer
    x = 567.98

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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.