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Finding the Fourth Proportional to 1,068.14, 1,602.14 and 482.99

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Solution

The fourth proportional to 1,068.14, 1,602.14 and 482.99 is: 724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.14 : 1,602.14 = 482.99 : x
  2. Step 2: Convert to fraction form
    1,068.14/1,602.14 = 482.99/x
  3. Step 3: Cross multiply
    1,068.14x = 1,602.14 × 482.99
  4. Step 4: Simplify right side
    1,068.14x = 773,822.81
  5. Step 5: Solve for x
    x = 773,822.81/1,068.14
  6. Step 6: Final answer
    x = 724.46

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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.