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Finding the Fourth Proportional to 1,061.58, 1,591.98 and 368.07

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Solution

The fourth proportional to 1,061.58, 1,591.98 and 368.07 is: 551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.58 : 1,591.98 = 368.07 : x
  2. Step 2: Convert to fraction form
    1,061.58/1,591.98 = 368.07/x
  3. Step 3: Cross multiply
    1,061.58x = 1,591.98 × 368.07
  4. Step 4: Simplify right side
    1,061.58x = 585,960.08
  5. Step 5: Solve for x
    x = 585,960.08/1,061.58
  6. Step 6: Final answer
    x = 551.97

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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.