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Finding the Fourth Proportional to 740.56, 1,109.76 and 307.12

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Solution

The fourth proportional to 740.56, 1,109.76 and 307.12 is: 460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.56 : 1,109.76 = 307.12 : x
  2. Step 2: Convert to fraction form
    740.56/1,109.76 = 307.12/x
  3. Step 3: Cross multiply
    740.56x = 1,109.76 × 307.12
  4. Step 4: Simplify right side
    740.56x = 340,829.49
  5. Step 5: Solve for x
    x = 340,829.49/740.56
  6. Step 6: Final answer
    x = 460.23

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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.