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Finding the Fourth Proportional to 931.14, 1,393.64 and 514.04

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Solution

The fourth proportional to 931.14, 1,393.64 and 514.04 is: 769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.14 : 1,393.64 = 514.04 : x
  2. Step 2: Convert to fraction form
    931.14/1,393.64 = 514.04/x
  3. Step 3: Cross multiply
    931.14x = 1,393.64 × 514.04
  4. Step 4: Simplify right side
    931.14x = 716,386.71
  5. Step 5: Solve for x
    x = 716,386.71/931.14
  6. Step 6: Final answer
    x = 769.37

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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.