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Finding the Fourth Proportional to 1,045.24, 1,442.75 and 603.43

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Solution

The fourth proportional to 1,045.24, 1,442.75 and 603.43 is: 832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.24 : 1,442.75 = 603.43 : x
  2. Step 2: Convert to fraction form
    1,045.24/1,442.75 = 603.43/x
  3. Step 3: Cross multiply
    1,045.24x = 1,442.75 × 603.43
  4. Step 4: Simplify right side
    1,045.24x = 870,592.01
  5. Step 5: Solve for x
    x = 870,592.01/1,045.24
  6. Step 6: Final answer
    x = 832.91

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