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Finding the Fourth Proportional to 695.04, 1,041.19 and 565.19

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Solution

The fourth proportional to 695.04, 1,041.19 and 565.19 is: 846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.04 : 1,041.19 = 565.19 : x
  2. Step 2: Convert to fraction form
    695.04/1,041.19 = 565.19/x
  3. Step 3: Cross multiply
    695.04x = 1,041.19 × 565.19
  4. Step 4: Simplify right side
    695.04x = 588,462.14
  5. Step 5: Solve for x
    x = 588,462.14/695.04
  6. Step 6: Final answer
    x = 846.66

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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.