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Finding the Fourth Proportional to 740.07, 1,109.84 and 307.26

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Solution

The fourth proportional to 740.07, 1,109.84 and 307.26 is: 460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.07 : 1,109.84 = 307.26 : x
  2. Step 2: Convert to fraction form
    740.07/1,109.84 = 307.26/x
  3. Step 3: Cross multiply
    740.07x = 1,109.84 × 307.26
  4. Step 4: Simplify right side
    740.07x = 341,007.90
  5. Step 5: Solve for x
    x = 341,007.90/740.07
  6. Step 6: Final answer
    x = 460.78

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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.