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Finding the Fourth Proportional to 1,143.89, 1,715.25 and 527.06

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Solution

The fourth proportional to 1,143.89, 1,715.25 and 527.06 is: 790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.89 : 1,715.25 = 527.06 : x
  2. Step 2: Convert to fraction form
    1,143.89/1,715.25 = 527.06/x
  3. Step 3: Cross multiply
    1,143.89x = 1,715.25 × 527.06
  4. Step 4: Simplify right side
    1,143.89x = 904,039.67
  5. Step 5: Solve for x
    x = 904,039.67/1,143.89
  6. Step 6: Final answer
    x = 790.32

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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.