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Finding the Fourth Proportional to 1,045.14, 1,442.31 and 603.09

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Solution

The fourth proportional to 1,045.14, 1,442.31 and 603.09 is: 832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.14 : 1,442.31 = 603.09 : x
  2. Step 2: Convert to fraction form
    1,045.14/1,442.31 = 603.09/x
  3. Step 3: Cross multiply
    1,045.14x = 1,442.31 × 603.09
  4. Step 4: Simplify right side
    1,045.14x = 869,842.74
  5. Step 5: Solve for x
    x = 869,842.74/1,045.14
  6. Step 6: Final answer
    x = 832.27

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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.