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Finding the Fourth Proportional to 695.52, 1,041.77 and 540.24

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Solution

The fourth proportional to 695.52, 1,041.77 and 540.24 is: 809.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.52 : 1,041.77 = 540.24 : x
  2. Step 2: Convert to fraction form
    695.52/1,041.77 = 540.24/x
  3. Step 3: Cross multiply
    695.52x = 1,041.77 × 540.24
  4. Step 4: Simplify right side
    695.52x = 562,803.12
  5. Step 5: Solve for x
    x = 562,803.12/695.52
  6. Step 6: Final answer
    x = 809.18

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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.