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Finding the Fourth Proportional to 1,582.14, 2,373.22 and 716.46

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Solution

The fourth proportional to 1,582.14, 2,373.22 and 716.46 is: 1,074.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.14 : 2,373.22 = 716.46 : x
  2. Step 2: Convert to fraction form
    1,582.14/2,373.22 = 716.46/x
  3. Step 3: Cross multiply
    1,582.14x = 2,373.22 × 716.46
  4. Step 4: Simplify right side
    1,582.14x = 1,700,317.20
  5. Step 5: Solve for x
    x = 1,700,317.20/1,582.14
  6. Step 6: Final answer
    x = 1,074.69

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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.