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Finding the Fourth Proportional to 1,027.01, 1,417.31 and 584.98

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Solution

The fourth proportional to 1,027.01, 1,417.31 and 584.98 is: 807.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.01 : 1,417.31 = 584.98 : x
  2. Step 2: Convert to fraction form
    1,027.01/1,417.31 = 584.98/x
  3. Step 3: Cross multiply
    1,027.01x = 1,417.31 × 584.98
  4. Step 4: Simplify right side
    1,027.01x = 829,098.00
  5. Step 5: Solve for x
    x = 829,098.00/1,027.01
  6. Step 6: Final answer
    x = 807.29

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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.