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Finding the Fourth Proportional to 1,523.29, 2,289.21 and 907.11

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Solution

The fourth proportional to 1,523.29, 2,289.21 and 907.11 is: 1,363.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.29 : 2,289.21 = 907.11 : x
  2. Step 2: Convert to fraction form
    1,523.29/2,289.21 = 907.11/x
  3. Step 3: Cross multiply
    1,523.29x = 2,289.21 × 907.11
  4. Step 4: Simplify right side
    1,523.29x = 2,076,565.28
  5. Step 5: Solve for x
    x = 2,076,565.28/1,523.29
  6. Step 6: Final answer
    x = 1,363.21

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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.