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Finding the Fourth Proportional to 784.72, 1,175.64 and 577

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Solution

The fourth proportional to 784.72, 1,175.64 and 577 is: 864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.72 : 1,175.64 = 577 : x
  2. Step 2: Convert to fraction form
    784.72/1,175.64 = 577/x
  3. Step 3: Cross multiply
    784.72x = 1,175.64 × 577
  4. Step 4: Simplify right side
    784.72x = 678,344.28
  5. Step 5: Solve for x
    x = 678,344.28/784.72
  6. Step 6: Final answer
    x = 864.44

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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.