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Finding the Fourth Proportional to 1,073.05, 1,607.59 and 586.51

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Solution

The fourth proportional to 1,073.05, 1,607.59 and 586.51 is: 878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.05 : 1,607.59 = 586.51 : x
  2. Step 2: Convert to fraction form
    1,073.05/1,607.59 = 586.51/x
  3. Step 3: Cross multiply
    1,073.05x = 1,607.59 × 586.51
  4. Step 4: Simplify right side
    1,073.05x = 942,867.61
  5. Step 5: Solve for x
    x = 942,867.61/1,073.05
  6. Step 6: Final answer
    x = 878.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.