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Finding the Fourth Proportional to 1,007.84, 1,512.68 and 521.24

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Solution

The fourth proportional to 1,007.84, 1,512.68 and 521.24 is: 782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.84 : 1,512.68 = 521.24 : x
  2. Step 2: Convert to fraction form
    1,007.84/1,512.68 = 521.24/x
  3. Step 3: Cross multiply
    1,007.84x = 1,512.68 × 521.24
  4. Step 4: Simplify right side
    1,007.84x = 788,459.15
  5. Step 5: Solve for x
    x = 788,459.15/1,007.84
  6. Step 6: Final answer
    x = 782.32

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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.