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Finding the Fourth Proportional to 1,068.74, 1,474.89 and 603.10

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Solution

The fourth proportional to 1,068.74, 1,474.89 and 603.10 is: 832.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.74 : 1,474.89 = 603.10 : x
  2. Step 2: Convert to fraction form
    1,068.74/1,474.89 = 603.10/x
  3. Step 3: Cross multiply
    1,068.74x = 1,474.89 × 603.10
  4. Step 4: Simplify right side
    1,068.74x = 889,506.16
  5. Step 5: Solve for x
    x = 889,506.16/1,068.74
  6. Step 6: Final answer
    x = 832.29

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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.