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Finding the Fourth Proportional to 740.81, 1,111.59 and 509.89

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Solution

The fourth proportional to 740.81, 1,111.59 and 509.89 is: 765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.81 : 1,111.59 = 509.89 : x
  2. Step 2: Convert to fraction form
    740.81/1,111.59 = 509.89/x
  3. Step 3: Cross multiply
    740.81x = 1,111.59 × 509.89
  4. Step 4: Simplify right side
    740.81x = 566,785.85
  5. Step 5: Solve for x
    x = 566,785.85/740.81
  6. Step 6: Final answer
    x = 765.09

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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.