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Finding the Fourth Proportional to 1,061.59, 1,590.94 and 548.95

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Solution

The fourth proportional to 1,061.59, 1,590.94 and 548.95 is: 822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.59 : 1,590.94 = 548.95 : x
  2. Step 2: Convert to fraction form
    1,061.59/1,590.94 = 548.95/x
  3. Step 3: Cross multiply
    1,061.59x = 1,590.94 × 548.95
  4. Step 4: Simplify right side
    1,061.59x = 873,346.51
  5. Step 5: Solve for x
    x = 873,346.51/1,061.59
  6. Step 6: Final answer
    x = 822.68

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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.