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Finding the Fourth Proportional to 1,284.84, 1,927.17 and 463.14

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Solution

The fourth proportional to 1,284.84, 1,927.17 and 463.14 is: 694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.84 : 1,927.17 = 463.14 : x
  2. Step 2: Convert to fraction form
    1,284.84/1,927.17 = 463.14/x
  3. Step 3: Cross multiply
    1,284.84x = 1,927.17 × 463.14
  4. Step 4: Simplify right side
    1,284.84x = 892,549.51
  5. Step 5: Solve for x
    x = 892,549.51/1,284.84
  6. Step 6: Final answer
    x = 694.68

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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.