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Finding the Fourth Proportional to 784.02, 1,176.06 and 297.11

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Solution

The fourth proportional to 784.02, 1,176.06 and 297.11 is: 445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.02 : 1,176.06 = 297.11 : x
  2. Step 2: Convert to fraction form
    784.02/1,176.06 = 297.11/x
  3. Step 3: Cross multiply
    784.02x = 1,176.06 × 297.11
  4. Step 4: Simplify right side
    784.02x = 349,419.19
  5. Step 5: Solve for x
    x = 349,419.19/784.02
  6. Step 6: Final answer
    x = 445.68

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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.