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Finding the Fourth Proportional to 1,027.57, 1,417.82 and 607.63

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Solution

The fourth proportional to 1,027.57, 1,417.82 and 607.63 is: 838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.57 : 1,417.82 = 607.63 : x
  2. Step 2: Convert to fraction form
    1,027.57/1,417.82 = 607.63/x
  3. Step 3: Cross multiply
    1,027.57x = 1,417.82 × 607.63
  4. Step 4: Simplify right side
    1,027.57x = 861,509.97
  5. Step 5: Solve for x
    x = 861,509.97/1,027.57
  6. Step 6: Final answer
    x = 838.40

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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.