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Finding the Fourth Proportional to 1,526.62, 2,289.73 and 431.07

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Solution

The fourth proportional to 1,526.62, 2,289.73 and 431.07 is: 646.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.62 : 2,289.73 = 431.07 : x
  2. Step 2: Convert to fraction form
    1,526.62/2,289.73 = 431.07/x
  3. Step 3: Cross multiply
    1,526.62x = 2,289.73 × 431.07
  4. Step 4: Simplify right side
    1,526.62x = 987,033.91
  5. Step 5: Solve for x
    x = 987,033.91/1,526.62
  6. Step 6: Final answer
    x = 646.55

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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.