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Finding the Fourth Proportional to 1,681.77, 2,523.06 and 527.52

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Solution

The fourth proportional to 1,681.77, 2,523.06 and 527.52 is: 791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.77 : 2,523.06 = 527.52 : x
  2. Step 2: Convert to fraction form
    1,681.77/2,523.06 = 527.52/x
  3. Step 3: Cross multiply
    1,681.77x = 2,523.06 × 527.52
  4. Step 4: Simplify right side
    1,681.77x = 1,330,955.67
  5. Step 5: Solve for x
    x = 1,330,955.67/1,681.77
  6. Step 6: Final answer
    x = 791.40

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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.