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Finding the Fourth Proportional to 737.72, 1,017.48 and 590

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Solution

The fourth proportional to 737.72, 1,017.48 and 590 is: 813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.72 : 1,017.48 = 590 : x
  2. Step 2: Convert to fraction form
    737.72/1,017.48 = 590/x
  3. Step 3: Cross multiply
    737.72x = 1,017.48 × 590
  4. Step 4: Simplify right side
    737.72x = 600,313.20
  5. Step 5: Solve for x
    x = 600,313.20/737.72
  6. Step 6: Final answer
    x = 813.74

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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.