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Finding the Fourth Proportional to 1,656.81, 2,485.62 and 546.30

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Solution

The fourth proportional to 1,656.81, 2,485.62 and 546.30 is: 819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.81 : 2,485.62 = 546.30 : x
  2. Step 2: Convert to fraction form
    1,656.81/2,485.62 = 546.30/x
  3. Step 3: Cross multiply
    1,656.81x = 2,485.62 × 546.30
  4. Step 4: Simplify right side
    1,656.81x = 1,357,894.21
  5. Step 5: Solve for x
    x = 1,357,894.21/1,656.81
  6. Step 6: Final answer
    x = 819.58

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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.