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Finding the Fourth Proportional to 1,345.17, 2,017.77 and 479.49

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Solution

The fourth proportional to 1,345.17, 2,017.77 and 479.49 is: 719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.17 : 2,017.77 = 479.49 : x
  2. Step 2: Convert to fraction form
    1,345.17/2,017.77 = 479.49/x
  3. Step 3: Cross multiply
    1,345.17x = 2,017.77 × 479.49
  4. Step 4: Simplify right side
    1,345.17x = 967,500.54
  5. Step 5: Solve for x
    x = 967,500.54/1,345.17
  6. Step 6: Final answer
    x = 719.24

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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.