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Finding the Fourth Proportional to 1,027.34, 1,417.73 and 585.21

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Solution

The fourth proportional to 1,027.34, 1,417.73 and 585.21 is: 807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.34 : 1,417.73 = 585.21 : x
  2. Step 2: Convert to fraction form
    1,027.34/1,417.73 = 585.21/x
  3. Step 3: Cross multiply
    1,027.34x = 1,417.73 × 585.21
  4. Step 4: Simplify right side
    1,027.34x = 829,666.85
  5. Step 5: Solve for x
    x = 829,666.85/1,027.34
  6. Step 6: Final answer
    x = 807.59

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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.