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Finding the Fourth Proportional to 1,045.89, 1,442.96 and 597.43

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Solution

The fourth proportional to 1,045.89, 1,442.96 and 597.43 is: 824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.89 : 1,442.96 = 597.43 : x
  2. Step 2: Convert to fraction form
    1,045.89/1,442.96 = 597.43/x
  3. Step 3: Cross multiply
    1,045.89x = 1,442.96 × 597.43
  4. Step 4: Simplify right side
    1,045.89x = 862,067.59
  5. Step 5: Solve for x
    x = 862,067.59/1,045.89
  6. Step 6: Final answer
    x = 824.24

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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.