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Finding the Fourth Proportional to 598, 824.88 and 554.28

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Solution

The fourth proportional to 598, 824.88 and 554.28 is: 764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    598 : 824.88 = 554.28 : x
  2. Step 2: Convert to fraction form
    598/824.88 = 554.28/x
  3. Step 3: Cross multiply
    598x = 824.88 × 554.28
  4. Step 4: Simplify right side
    598x = 457,214.49
  5. Step 5: Solve for x
    x = 457,214.49/598
  6. Step 6: Final answer
    x = 764.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.