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Finding the Fourth Proportional to 740.69, 1,110.78 and 407.06

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Solution

The fourth proportional to 740.69, 1,110.78 and 407.06 is: 610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.69 : 1,110.78 = 407.06 : x
  2. Step 2: Convert to fraction form
    740.69/1,110.78 = 407.06/x
  3. Step 3: Cross multiply
    740.69x = 1,110.78 × 407.06
  4. Step 4: Simplify right side
    740.69x = 452,154.11
  5. Step 5: Solve for x
    x = 452,154.11/740.69
  6. Step 6: Final answer
    x = 610.45

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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.