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Finding the Fourth Proportional to 1,057.07, 1,585.48 and 464.34

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Solution

The fourth proportional to 1,057.07, 1,585.48 and 464.34 is: 696.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.07 : 1,585.48 = 464.34 : x
  2. Step 2: Convert to fraction form
    1,057.07/1,585.48 = 464.34/x
  3. Step 3: Cross multiply
    1,057.07x = 1,585.48 × 464.34
  4. Step 4: Simplify right side
    1,057.07x = 736,201.78
  5. Step 5: Solve for x
    x = 736,201.78/1,057.07
  6. Step 6: Final answer
    x = 696.46

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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.