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Finding the Fourth Proportional to 914.56, 1,368.74 and 768.47

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Solution

The fourth proportional to 914.56, 1,368.74 and 768.47 is: 1,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.56 : 1,368.74 = 768.47 : x
  2. Step 2: Convert to fraction form
    914.56/1,368.74 = 768.47/x
  3. Step 3: Cross multiply
    914.56x = 1,368.74 × 768.47
  4. Step 4: Simplify right side
    914.56x = 1,051,830.71
  5. Step 5: Solve for x
    x = 1,051,830.71/914.56
  6. Step 6: Final answer
    x = 1,150.10

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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.