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Finding the Fourth Proportional to 731.65, 1,095.34 and 384.16

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Solution

The fourth proportional to 731.65, 1,095.34 and 384.16 is: 575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.65 : 1,095.34 = 384.16 : x
  2. Step 2: Convert to fraction form
    731.65/1,095.34 = 384.16/x
  3. Step 3: Cross multiply
    731.65x = 1,095.34 × 384.16
  4. Step 4: Simplify right side
    731.65x = 420,785.81
  5. Step 5: Solve for x
    x = 420,785.81/731.65
  6. Step 6: Final answer
    x = 575.12

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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.