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Finding the Fourth Proportional to 1,495.84, 2,244.16 and 522

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Solution

The fourth proportional to 1,495.84, 2,244.16 and 522 is: 783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.84 : 2,244.16 = 522 : x
  2. Step 2: Convert to fraction form
    1,495.84/2,244.16 = 522/x
  3. Step 3: Cross multiply
    1,495.84x = 2,244.16 × 522
  4. Step 4: Simplify right side
    1,495.84x = 1,171,451.52
  5. Step 5: Solve for x
    x = 1,171,451.52/1,495.84
  6. Step 6: Final answer
    x = 783.14

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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.