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Finding the Fourth Proportional to 1,111.64, 1,533.65 and 669.68

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Solution

The fourth proportional to 1,111.64, 1,533.65 and 669.68 is: 923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.64 : 1,533.65 = 669.68 : x
  2. Step 2: Convert to fraction form
    1,111.64/1,533.65 = 669.68/x
  3. Step 3: Cross multiply
    1,111.64x = 1,533.65 × 669.68
  4. Step 4: Simplify right side
    1,111.64x = 1,027,048.74
  5. Step 5: Solve for x
    x = 1,027,048.74/1,111.64
  6. Step 6: Final answer
    x = 923.91

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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.