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Finding the Fourth Proportional to 1,068.57, 1,602.70 and 452.14

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Solution

The fourth proportional to 1,068.57, 1,602.70 and 452.14 is: 678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.57 : 1,602.70 = 452.14 : x
  2. Step 2: Convert to fraction form
    1,068.57/1,602.70 = 452.14/x
  3. Step 3: Cross multiply
    1,068.57x = 1,602.70 × 452.14
  4. Step 4: Simplify right side
    1,068.57x = 724,639.64
  5. Step 5: Solve for x
    x = 724,639.64/1,068.57
  6. Step 6: Final answer
    x = 678.14

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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.