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Finding the Fourth Proportional to 784.14, 1,176.08 and 512.16

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Solution

The fourth proportional to 784.14, 1,176.08 and 512.16 is: 768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.14 : 1,176.08 = 512.16 : x
  2. Step 2: Convert to fraction form
    784.14/1,176.08 = 512.16/x
  3. Step 3: Cross multiply
    784.14x = 1,176.08 × 512.16
  4. Step 4: Simplify right side
    784.14x = 602,341.13
  5. Step 5: Solve for x
    x = 602,341.13/784.14
  6. Step 6: Final answer
    x = 768.16

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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.