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Finding the Fourth Proportional to 784.70, 1,177.06 and 541.16

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Solution

The fourth proportional to 784.70, 1,177.06 and 541.16 is: 811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.70 : 1,177.06 = 541.16 : x
  2. Step 2: Convert to fraction form
    784.70/1,177.06 = 541.16/x
  3. Step 3: Cross multiply
    784.70x = 1,177.06 × 541.16
  4. Step 4: Simplify right side
    784.70x = 636,977.79
  5. Step 5: Solve for x
    x = 636,977.79/784.70
  6. Step 6: Final answer
    x = 811.75

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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.