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Finding the Fourth Proportional to 1,345.68, 2,017.33 and 467.57

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Solution

The fourth proportional to 1,345.68, 2,017.33 and 467.57 is: 700.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.68 : 2,017.33 = 467.57 : x
  2. Step 2: Convert to fraction form
    1,345.68/2,017.33 = 467.57/x
  3. Step 3: Cross multiply
    1,345.68x = 2,017.33 × 467.57
  4. Step 4: Simplify right side
    1,345.68x = 943,246.86
  5. Step 5: Solve for x
    x = 943,246.86/1,345.68
  6. Step 6: Final answer
    x = 700.94

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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.