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Finding the Fourth Proportional to 735.08, 1,013.95 and 513.64

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Solution

The fourth proportional to 735.08, 1,013.95 and 513.64 is: 708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.08 : 1,013.95 = 513.64 : x
  2. Step 2: Convert to fraction form
    735.08/1,013.95 = 513.64/x
  3. Step 3: Cross multiply
    735.08x = 1,013.95 × 513.64
  4. Step 4: Simplify right side
    735.08x = 520,807.19
  5. Step 5: Solve for x
    x = 520,807.19/735.08
  6. Step 6: Final answer
    x = 708.51

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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.