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Finding the Fourth Proportional to 1,140.63, 1,710.66 and 447.06

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Solution

The fourth proportional to 1,140.63, 1,710.66 and 447.06 is: 670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.63 : 1,710.66 = 447.06 : x
  2. Step 2: Convert to fraction form
    1,140.63/1,710.66 = 447.06/x
  3. Step 3: Cross multiply
    1,140.63x = 1,710.66 × 447.06
  4. Step 4: Simplify right side
    1,140.63x = 764,767.66
  5. Step 5: Solve for x
    x = 764,767.66/1,140.63
  6. Step 6: Final answer
    x = 670.48

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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.