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Finding the Fourth Proportional to 1,681.70, 2,523.63 and 707.81

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Solution

The fourth proportional to 1,681.70, 2,523.63 and 707.81 is: 1,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.70 : 2,523.63 = 707.81 : x
  2. Step 2: Convert to fraction form
    1,681.70/2,523.63 = 707.81/x
  3. Step 3: Cross multiply
    1,681.70x = 2,523.63 × 707.81
  4. Step 4: Simplify right side
    1,681.70x = 1,786,238.60
  5. Step 5: Solve for x
    x = 1,786,238.60/1,681.70
  6. Step 6: Final answer
    x = 1,062.16

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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.