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Finding the Fourth Proportional to 784.70, 1,177.06 and 291.48

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Solution

The fourth proportional to 784.70, 1,177.06 and 291.48 is: 437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.70 : 1,177.06 = 291.48 : x
  2. Step 2: Convert to fraction form
    784.70/1,177.06 = 291.48/x
  3. Step 3: Cross multiply
    784.70x = 1,177.06 × 291.48
  4. Step 4: Simplify right side
    784.70x = 343,089.45
  5. Step 5: Solve for x
    x = 343,089.45/784.70
  6. Step 6: Final answer
    x = 437.22

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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.