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Finding the Fourth Proportional to 597, 893.47 and 520.19

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Solution

The fourth proportional to 597, 893.47 and 520.19 is: 778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    597 : 893.47 = 520.19 : x
  2. Step 2: Convert to fraction form
    597/893.47 = 520.19/x
  3. Step 3: Cross multiply
    597x = 893.47 × 520.19
  4. Step 4: Simplify right side
    597x = 464,774.16
  5. Step 5: Solve for x
    x = 464,774.16/597
  6. Step 6: Final answer
    x = 778.52

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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.