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Finding the Fourth Proportional to 1,174.53, 1,762.34 and 597.81

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Solution

The fourth proportional to 1,174.53, 1,762.34 and 597.81 is: 896.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.53 : 1,762.34 = 597.81 : x
  2. Step 2: Convert to fraction form
    1,174.53/1,762.34 = 597.81/x
  3. Step 3: Cross multiply
    1,174.53x = 1,762.34 × 597.81
  4. Step 4: Simplify right side
    1,174.53x = 1,053,541.49
  5. Step 5: Solve for x
    x = 1,053,541.49/1,174.53
  6. Step 6: Final answer
    x = 896.99

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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.