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Finding the Fourth Proportional to 1,678.84, 2,518.64 and 524.68

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Solution

The fourth proportional to 1,678.84, 2,518.64 and 524.68 is: 787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.84 : 2,518.64 = 524.68 : x
  2. Step 2: Convert to fraction form
    1,678.84/2,518.64 = 524.68/x
  3. Step 3: Cross multiply
    1,678.84x = 2,518.64 × 524.68
  4. Step 4: Simplify right side
    1,678.84x = 1,321,480.04
  5. Step 5: Solve for x
    x = 1,321,480.04/1,678.84
  6. Step 6: Final answer
    x = 787.14

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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.