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Finding the Fourth Proportional to 1,526.94, 2,290.84 and 431.31

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Solution

The fourth proportional to 1,526.94, 2,290.84 and 431.31 is: 647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.94 : 2,290.84 = 431.31 : x
  2. Step 2: Convert to fraction form
    1,526.94/2,290.84 = 431.31/x
  3. Step 3: Cross multiply
    1,526.94x = 2,290.84 × 431.31
  4. Step 4: Simplify right side
    1,526.94x = 988,062.20
  5. Step 5: Solve for x
    x = 988,062.20/1,526.94
  6. Step 6: Final answer
    x = 647.09

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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.