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Finding the Fourth Proportional to 1,061.84, 1,592.68 and 403.44

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Solution

The fourth proportional to 1,061.84, 1,592.68 and 403.44 is: 605.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.84 : 1,592.68 = 403.44 : x
  2. Step 2: Convert to fraction form
    1,061.84/1,592.68 = 403.44/x
  3. Step 3: Cross multiply
    1,061.84x = 1,592.68 × 403.44
  4. Step 4: Simplify right side
    1,061.84x = 642,550.82
  5. Step 5: Solve for x
    x = 642,550.82/1,061.84
  6. Step 6: Final answer
    x = 605.13

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Why These Related Problems?

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