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Finding the Fourth Proportional to 714.84, 1,071.62 and 282.28

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Solution

The fourth proportional to 714.84, 1,071.62 and 282.28 is: 423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.84 : 1,071.62 = 282.28 : x
  2. Step 2: Convert to fraction form
    714.84/1,071.62 = 282.28/x
  3. Step 3: Cross multiply
    714.84x = 1,071.62 × 282.28
  4. Step 4: Simplify right side
    714.84x = 302,496.89
  5. Step 5: Solve for x
    x = 302,496.89/714.84
  6. Step 6: Final answer
    x = 423.17

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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.