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Finding the Fourth Proportional to 887.40, 1,330.09 and 522.50

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Solution

The fourth proportional to 887.40, 1,330.09 and 522.50 is: 783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.40 : 1,330.09 = 522.50 : x
  2. Step 2: Convert to fraction form
    887.40/1,330.09 = 522.50/x
  3. Step 3: Cross multiply
    887.40x = 1,330.09 × 522.50
  4. Step 4: Simplify right side
    887.40x = 694,964.07
  5. Step 5: Solve for x
    x = 694,964.07/887.40
  6. Step 6: Final answer
    x = 783.15

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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.