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Finding the Fourth Proportional to 594.20, 893.10 and 583.40

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Solution

The fourth proportional to 594.20, 893.10 and 583.40 is: 876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.20 : 893.10 = 583.40 : x
  2. Step 2: Convert to fraction form
    594.20/893.10 = 583.40/x
  3. Step 3: Cross multiply
    594.20x = 893.10 × 583.40
  4. Step 4: Simplify right side
    594.20x = 521,034.54
  5. Step 5: Solve for x
    x = 521,034.54/594.20
  6. Step 6: Final answer
    x = 876.87

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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.