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Finding the Fourth Proportional to 1,405.63, 2,107.00 and 584.38

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Solution

The fourth proportional to 1,405.63, 2,107.00 and 584.38 is: 875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.63 : 2,107.00 = 584.38 : x
  2. Step 2: Convert to fraction form
    1,405.63/2,107.00 = 584.38/x
  3. Step 3: Cross multiply
    1,405.63x = 2,107.00 × 584.38
  4. Step 4: Simplify right side
    1,405.63x = 1,231,276.66
  5. Step 5: Solve for x
    x = 1,231,276.66/1,405.63
  6. Step 6: Final answer
    x = 875.96

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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.