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Finding the Fourth Proportional to 1,027.56, 1,417.69 and 585.36

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Solution

The fourth proportional to 1,027.56, 1,417.69 and 585.36 is: 807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.56 : 1,417.69 = 585.36 : x
  2. Step 2: Convert to fraction form
    1,027.56/1,417.69 = 585.36/x
  3. Step 3: Cross multiply
    1,027.56x = 1,417.69 × 585.36
  4. Step 4: Simplify right side
    1,027.56x = 829,859.02
  5. Step 5: Solve for x
    x = 829,859.02/1,027.56
  6. Step 6: Final answer
    x = 807.60

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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.