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Finding the Fourth Proportional to 1,205.79, 1,808.37 and 465.24

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Solution

The fourth proportional to 1,205.79, 1,808.37 and 465.24 is: 697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.79 : 1,808.37 = 465.24 : x
  2. Step 2: Convert to fraction form
    1,205.79/1,808.37 = 465.24/x
  3. Step 3: Cross multiply
    1,205.79x = 1,808.37 × 465.24
  4. Step 4: Simplify right side
    1,205.79x = 841,326.06
  5. Step 5: Solve for x
    x = 841,326.06/1,205.79
  6. Step 6: Final answer
    x = 697.74

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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.