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Finding the Fourth Proportional to 1,200.99, 1,657.36 and 669.86

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Solution

The fourth proportional to 1,200.99, 1,657.36 and 669.86 is: 924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.99 : 1,657.36 = 669.86 : x
  2. Step 2: Convert to fraction form
    1,200.99/1,657.36 = 669.86/x
  3. Step 3: Cross multiply
    1,200.99x = 1,657.36 × 669.86
  4. Step 4: Simplify right side
    1,200.99x = 1,110,194.75
  5. Step 5: Solve for x
    x = 1,110,194.75/1,200.99
  6. Step 6: Final answer
    x = 924.40

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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.