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Finding the Fourth Proportional to 1,205.07, 1,807.94 and 465.02

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Solution

The fourth proportional to 1,205.07, 1,807.94 and 465.02 is: 697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.07 : 1,807.94 = 465.02 : x
  2. Step 2: Convert to fraction form
    1,205.07/1,807.94 = 465.02/x
  3. Step 3: Cross multiply
    1,205.07x = 1,807.94 × 465.02
  4. Step 4: Simplify right side
    1,205.07x = 840,716.89
  5. Step 5: Solve for x
    x = 840,716.89/1,205.07
  6. Step 6: Final answer
    x = 697.65

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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.