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Finding the Fourth Proportional to 598.83, 893.19 and 580.59

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Solution

The fourth proportional to 598.83, 893.19 and 580.59 is: 865.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.83 : 893.19 = 580.59 : x
  2. Step 2: Convert to fraction form
    598.83/893.19 = 580.59/x
  3. Step 3: Cross multiply
    598.83x = 893.19 × 580.59
  4. Step 4: Simplify right side
    598.83x = 518,577.18
  5. Step 5: Solve for x
    x = 518,577.18/598.83
  6. Step 6: Final answer
    x = 865.98

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Why These Related Problems?

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