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Finding the Fourth Proportional to 1,209.58, 1,669.80 and 856.24

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Solution

The fourth proportional to 1,209.58, 1,669.80 and 856.24 is: 1,182.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.58 : 1,669.80 = 856.24 : x
  2. Step 2: Convert to fraction form
    1,209.58/1,669.80 = 856.24/x
  3. Step 3: Cross multiply
    1,209.58x = 1,669.80 × 856.24
  4. Step 4: Simplify right side
    1,209.58x = 1,429,749.55
  5. Step 5: Solve for x
    x = 1,429,749.55/1,209.58
  6. Step 6: Final answer
    x = 1,182.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.