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Finding the Fourth Proportional to 783.96, 1,176.38 and 296.99

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Solution

The fourth proportional to 783.96, 1,176.38 and 296.99 is: 445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.96 : 1,176.38 = 296.99 : x
  2. Step 2: Convert to fraction form
    783.96/1,176.38 = 296.99/x
  3. Step 3: Cross multiply
    783.96x = 1,176.38 × 296.99
  4. Step 4: Simplify right side
    783.96x = 349,373.10
  5. Step 5: Solve for x
    x = 349,373.10/783.96
  6. Step 6: Final answer
    x = 445.65

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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.