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Finding the Fourth Proportional to 1,742.98, 2,615.34 and 647.59

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Solution

The fourth proportional to 1,742.98, 2,615.34 and 647.59 is: 971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.98 : 2,615.34 = 647.59 : x
  2. Step 2: Convert to fraction form
    1,742.98/2,615.34 = 647.59/x
  3. Step 3: Cross multiply
    1,742.98x = 2,615.34 × 647.59
  4. Step 4: Simplify right side
    1,742.98x = 1,693,668.03
  5. Step 5: Solve for x
    x = 1,693,668.03/1,742.98
  6. Step 6: Final answer
    x = 971.71

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1.5x scale

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.