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Finding the Fourth Proportional to 695.96, 1,041.30 and 593.50

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Solution

The fourth proportional to 695.96, 1,041.30 and 593.50 is: 888.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.96 : 1,041.30 = 593.50 : x
  2. Step 2: Convert to fraction form
    695.96/1,041.30 = 593.50/x
  3. Step 3: Cross multiply
    695.96x = 1,041.30 × 593.50
  4. Step 4: Simplify right side
    695.96x = 618,011.55
  5. Step 5: Solve for x
    x = 618,011.55/695.96
  6. Step 6: Final answer
    x = 888.00

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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.