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Finding the Fourth Proportional to 1,730.01, 2,594.99 and 431.48

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Solution

The fourth proportional to 1,730.01, 2,594.99 and 431.48 is: 647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.01 : 2,594.99 = 431.48 : x
  2. Step 2: Convert to fraction form
    1,730.01/2,594.99 = 431.48/x
  3. Step 3: Cross multiply
    1,730.01x = 2,594.99 × 431.48
  4. Step 4: Simplify right side
    1,730.01x = 1,119,671.15
  5. Step 5: Solve for x
    x = 1,119,671.15/1,730.01
  6. Step 6: Final answer
    x = 647.21

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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.