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Finding the Fourth Proportional to 898.54, 1,347.43 and 378.77

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Solution

The fourth proportional to 898.54, 1,347.43 and 378.77 is: 568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.54 : 1,347.43 = 378.77 : x
  2. Step 2: Convert to fraction form
    898.54/1,347.43 = 378.77/x
  3. Step 3: Cross multiply
    898.54x = 1,347.43 × 378.77
  4. Step 4: Simplify right side
    898.54x = 510,364.17
  5. Step 5: Solve for x
    x = 510,364.17/898.54
  6. Step 6: Final answer
    x = 568.00

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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.