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Finding the Fourth Proportional to 718, 1,077.64 and 410.16

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Solution

The fourth proportional to 718, 1,077.64 and 410.16 is: 615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    718 : 1,077.64 = 410.16 : x
  2. Step 2: Convert to fraction form
    718/1,077.64 = 410.16/x
  3. Step 3: Cross multiply
    718x = 1,077.64 × 410.16
  4. Step 4: Simplify right side
    718x = 442,004.82
  5. Step 5: Solve for x
    x = 442,004.82/718
  6. Step 6: Final answer
    x = 615.61

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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.