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Finding the Fourth Proportional to 1,027.46, 1,417.91 and 585.37

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Solution

The fourth proportional to 1,027.46, 1,417.91 and 585.37 is: 807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.46 : 1,417.91 = 585.37 : x
  2. Step 2: Convert to fraction form
    1,027.46/1,417.91 = 585.37/x
  3. Step 3: Cross multiply
    1,027.46x = 1,417.91 × 585.37
  4. Step 4: Simplify right side
    1,027.46x = 830,001.98
  5. Step 5: Solve for x
    x = 830,001.98/1,027.46
  6. Step 6: Final answer
    x = 807.82

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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.