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Finding the Fourth Proportional to 784.91, 1,177.76 and 477.53

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Solution

The fourth proportional to 784.91, 1,177.76 and 477.53 is: 716.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.91 : 1,177.76 = 477.53 : x
  2. Step 2: Convert to fraction form
    784.91/1,177.76 = 477.53/x
  3. Step 3: Cross multiply
    784.91x = 1,177.76 × 477.53
  4. Step 4: Simplify right side
    784.91x = 562,407.46
  5. Step 5: Solve for x
    x = 562,407.46/784.91
  6. Step 6: Final answer
    x = 716.53

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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.