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Finding the Fourth Proportional to 784.76, 1,176.34 and 511.40

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Solution

The fourth proportional to 784.76, 1,176.34 and 511.40 is: 766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.76 : 1,176.34 = 511.40 : x
  2. Step 2: Convert to fraction form
    784.76/1,176.34 = 511.40/x
  3. Step 3: Cross multiply
    784.76x = 1,176.34 × 511.40
  4. Step 4: Simplify right side
    784.76x = 601,580.28
  5. Step 5: Solve for x
    x = 601,580.28/784.76
  6. Step 6: Final answer
    x = 766.58

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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.