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Finding the Fourth Proportional to 957.62, 1,436.87 and 714.62

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Solution

The fourth proportional to 957.62, 1,436.87 and 714.62 is: 1,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.62 : 1,436.87 = 714.62 : x
  2. Step 2: Convert to fraction form
    957.62/1,436.87 = 714.62/x
  3. Step 3: Cross multiply
    957.62x = 1,436.87 × 714.62
  4. Step 4: Simplify right side
    957.62x = 1,026,821.42
  5. Step 5: Solve for x
    x = 1,026,821.42/957.62
  6. Step 6: Final answer
    x = 1,072.26

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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.