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Finding the Fourth Proportional to 1,742.47, 2,614.26 and 646.99

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Solution

The fourth proportional to 1,742.47, 2,614.26 and 646.99 is: 970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.47 : 2,614.26 = 646.99 : x
  2. Step 2: Convert to fraction form
    1,742.47/2,614.26 = 646.99/x
  3. Step 3: Cross multiply
    1,742.47x = 2,614.26 × 646.99
  4. Step 4: Simplify right side
    1,742.47x = 1,691,400.08
  5. Step 5: Solve for x
    x = 1,691,400.08/1,742.47
  6. Step 6: Final answer
    x = 970.69

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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.