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Finding the Fourth Proportional to 820.37, 1,132.64 and 598.93

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Solution

The fourth proportional to 820.37, 1,132.64 and 598.93 is: 826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.37 : 1,132.64 = 598.93 : x
  2. Step 2: Convert to fraction form
    820.37/1,132.64 = 598.93/x
  3. Step 3: Cross multiply
    820.37x = 1,132.64 × 598.93
  4. Step 4: Simplify right side
    820.37x = 678,370.74
  5. Step 5: Solve for x
    x = 678,370.74/820.37
  6. Step 6: Final answer
    x = 826.91

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Why These Related Problems?

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