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Finding the Fourth Proportional to 598.76, 893.93 and 506.48

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Solution

The fourth proportional to 598.76, 893.93 and 506.48 is: 756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.76 : 893.93 = 506.48 : x
  2. Step 2: Convert to fraction form
    598.76/893.93 = 506.48/x
  3. Step 3: Cross multiply
    598.76x = 893.93 × 506.48
  4. Step 4: Simplify right side
    598.76x = 452,757.67
  5. Step 5: Solve for x
    x = 452,757.67/598.76
  6. Step 6: Final answer
    x = 756.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.