Home / 1,054.24-1,577.60-669.76

Finding the Fourth Proportional to 1,054.24, 1,577.60 and 669.76

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Solution

The fourth proportional to 1,054.24, 1,577.60 and 669.76 is: 1,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.24 : 1,577.60 = 669.76 : x
  2. Step 2: Convert to fraction form
    1,054.24/1,577.60 = 669.76/x
  3. Step 3: Cross multiply
    1,054.24x = 1,577.60 × 669.76
  4. Step 4: Simplify right side
    1,054.24x = 1,056,613.38
  5. Step 5: Solve for x
    x = 1,056,613.38/1,054.24
  6. Step 6: Final answer
    x = 1,002.25

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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.