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Finding the Fourth Proportional to 1,068.82, 1,475 and 603.07

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Solution

The fourth proportional to 1,068.82, 1,475 and 603.07 is: 832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.82 : 1,475 = 603.07 : x
  2. Step 2: Convert to fraction form
    1,068.82/1,475 = 603.07/x
  3. Step 3: Cross multiply
    1,068.82x = 1,475 × 603.07
  4. Step 4: Simplify right side
    1,068.82x = 889,528.25
  5. Step 5: Solve for x
    x = 889,528.25/1,068.82
  6. Step 6: Final answer
    x = 832.25

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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.