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Finding the Fourth Proportional to 736.14, 1,102.98 and 590.34

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Solution

The fourth proportional to 736.14, 1,102.98 and 590.34 is: 884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.14 : 1,102.98 = 590.34 : x
  2. Step 2: Convert to fraction form
    736.14/1,102.98 = 590.34/x
  3. Step 3: Cross multiply
    736.14x = 1,102.98 × 590.34
  4. Step 4: Simplify right side
    736.14x = 651,133.21
  5. Step 5: Solve for x
    x = 651,133.21/736.14
  6. Step 6: Final answer
    x = 884.52

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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.