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Finding the Fourth Proportional to 783.96, 1,176.35 and 297.36

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Solution

The fourth proportional to 783.96, 1,176.35 and 297.36 is: 446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.96 : 1,176.35 = 297.36 : x
  2. Step 2: Convert to fraction form
    783.96/1,176.35 = 297.36/x
  3. Step 3: Cross multiply
    783.96x = 1,176.35 × 297.36
  4. Step 4: Simplify right side
    783.96x = 349,797.95
  5. Step 5: Solve for x
    x = 349,797.95/783.96
  6. Step 6: Final answer
    x = 446.19

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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.