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Finding the Fourth Proportional to 1,526.31, 2,291.09 and 661.23

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Solution

The fourth proportional to 1,526.31, 2,291.09 and 661.23 is: 992.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.31 : 2,291.09 = 661.23 : x
  2. Step 2: Convert to fraction form
    1,526.31/2,291.09 = 661.23/x
  3. Step 3: Cross multiply
    1,526.31x = 2,291.09 × 661.23
  4. Step 4: Simplify right side
    1,526.31x = 1,514,934.13
  5. Step 5: Solve for x
    x = 1,514,934.13/1,526.31
  6. Step 6: Final answer
    x = 992.55

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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.