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Finding the Fourth Proportional to 783.17, 1,174.65 and 296.16

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Solution

The fourth proportional to 783.17, 1,174.65 and 296.16 is: 444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.17 : 1,174.65 = 296.16 : x
  2. Step 2: Convert to fraction form
    783.17/1,174.65 = 296.16/x
  3. Step 3: Cross multiply
    783.17x = 1,174.65 × 296.16
  4. Step 4: Simplify right side
    783.17x = 347,880.49
  5. Step 5: Solve for x
    x = 347,880.49/783.17
  6. Step 6: Final answer
    x = 444.20

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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.