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Finding the Fourth Proportional to 1,133.46, 1,693.31 and 719.28

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Solution

The fourth proportional to 1,133.46, 1,693.31 and 719.28 is: 1,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.46 : 1,693.31 = 719.28 : x
  2. Step 2: Convert to fraction form
    1,133.46/1,693.31 = 719.28/x
  3. Step 3: Cross multiply
    1,133.46x = 1,693.31 × 719.28
  4. Step 4: Simplify right side
    1,133.46x = 1,217,960.42
  5. Step 5: Solve for x
    x = 1,217,960.42/1,133.46
  6. Step 6: Final answer
    x = 1,074.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.