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Finding the Fourth Proportional to 1,068.81, 1,474.96 and 603.06

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Solution

The fourth proportional to 1,068.81, 1,474.96 and 603.06 is: 832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.81 : 1,474.96 = 603.06 : x
  2. Step 2: Convert to fraction form
    1,068.81/1,474.96 = 603.06/x
  3. Step 3: Cross multiply
    1,068.81x = 1,474.96 × 603.06
  4. Step 4: Simplify right side
    1,068.81x = 889,489.38
  5. Step 5: Solve for x
    x = 889,489.38/1,068.81
  6. Step 6: Final answer
    x = 832.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.