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Finding the Fourth Proportional to 1,485.58, 2,228.63 and 511.66

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Solution

The fourth proportional to 1,485.58, 2,228.63 and 511.66 is: 767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.58 : 2,228.63 = 511.66 : x
  2. Step 2: Convert to fraction form
    1,485.58/2,228.63 = 511.66/x
  3. Step 3: Cross multiply
    1,485.58x = 2,228.63 × 511.66
  4. Step 4: Simplify right side
    1,485.58x = 1,140,300.83
  5. Step 5: Solve for x
    x = 1,140,300.83/1,485.58
  6. Step 6: Final answer
    x = 767.58

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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.