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Finding the Fourth Proportional to 598.87, 894.03 and 506.58

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Solution

The fourth proportional to 598.87, 894.03 and 506.58 is: 756.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.87 : 894.03 = 506.58 : x
  2. Step 2: Convert to fraction form
    598.87/894.03 = 506.58/x
  3. Step 3: Cross multiply
    598.87x = 894.03 × 506.58
  4. Step 4: Simplify right side
    598.87x = 452,895.31
  5. Step 5: Solve for x
    x = 452,895.31/598.87
  6. Step 6: Final answer
    x = 756.26

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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.