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Finding the Fourth Proportional to 1,089.01, 1,632.50 and 395.51

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Solution

The fourth proportional to 1,089.01, 1,632.50 and 395.51 is: 592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.01 : 1,632.50 = 395.51 : x
  2. Step 2: Convert to fraction form
    1,089.01/1,632.50 = 395.51/x
  3. Step 3: Cross multiply
    1,089.01x = 1,632.50 × 395.51
  4. Step 4: Simplify right side
    1,089.01x = 645,668.10
  5. Step 5: Solve for x
    x = 645,668.10/1,089.01
  6. Step 6: Final answer
    x = 592.90

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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.