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Finding the Fourth Proportional to 784.71, 1,177.92 and 456.01

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Solution

The fourth proportional to 784.71, 1,177.92 and 456.01 is: 684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.71 : 1,177.92 = 456.01 : x
  2. Step 2: Convert to fraction form
    784.71/1,177.92 = 456.01/x
  3. Step 3: Cross multiply
    784.71x = 1,177.92 × 456.01
  4. Step 4: Simplify right side
    784.71x = 537,140.35
  5. Step 5: Solve for x
    x = 537,140.35/784.71
  6. Step 6: Final answer
    x = 684.51

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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.