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Finding the Fourth Proportional to 784.02, 1,176.06 and 398.82

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Solution

The fourth proportional to 784.02, 1,176.06 and 398.82 is: 598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.02 : 1,176.06 = 398.82 : x
  2. Step 2: Convert to fraction form
    784.02/1,176.06 = 398.82/x
  3. Step 3: Cross multiply
    784.02x = 1,176.06 × 398.82
  4. Step 4: Simplify right side
    784.02x = 469,036.25
  5. Step 5: Solve for x
    x = 469,036.25/784.02
  6. Step 6: Final answer
    x = 598.25

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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.