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Finding the Fourth Proportional to 697.23, 1,045.24 and 595.17

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Solution

The fourth proportional to 697.23, 1,045.24 and 595.17 is: 892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.23 : 1,045.24 = 595.17 : x
  2. Step 2: Convert to fraction form
    697.23/1,045.24 = 595.17/x
  3. Step 3: Cross multiply
    697.23x = 1,045.24 × 595.17
  4. Step 4: Simplify right side
    697.23x = 622,094.00
  5. Step 5: Solve for x
    x = 622,094.00/697.23
  6. Step 6: Final answer
    x = 892.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.