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Finding the Fourth Proportional to 771.66, 1,157.16 and 598.53

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Solution

The fourth proportional to 771.66, 1,157.16 and 598.53 is: 897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.66 : 1,157.16 = 598.53 : x
  2. Step 2: Convert to fraction form
    771.66/1,157.16 = 598.53/x
  3. Step 3: Cross multiply
    771.66x = 1,157.16 × 598.53
  4. Step 4: Simplify right side
    771.66x = 692,594.97
  5. Step 5: Solve for x
    x = 692,594.97/771.66
  6. Step 6: Final answer
    x = 897.54

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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.