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Finding the Fourth Proportional to 740.04, 1,110.32 and 451.68

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Solution

The fourth proportional to 740.04, 1,110.32 and 451.68 is: 677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.04 : 1,110.32 = 451.68 : x
  2. Step 2: Convert to fraction form
    740.04/1,110.32 = 451.68/x
  3. Step 3: Cross multiply
    740.04x = 1,110.32 × 451.68
  4. Step 4: Simplify right side
    740.04x = 501,509.34
  5. Step 5: Solve for x
    x = 501,509.34/740.04
  6. Step 6: Final answer
    x = 677.68

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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.