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Finding the Fourth Proportional to 730.74, 1,097.74 and 693.45

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Solution

The fourth proportional to 730.74, 1,097.74 and 693.45 is: 1,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.74 : 1,097.74 = 693.45 : x
  2. Step 2: Convert to fraction form
    730.74/1,097.74 = 693.45/x
  3. Step 3: Cross multiply
    730.74x = 1,097.74 × 693.45
  4. Step 4: Simplify right side
    730.74x = 761,226.07
  5. Step 5: Solve for x
    x = 761,226.07/730.74
  6. Step 6: Final answer
    x = 1,041.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.