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Finding the Fourth Proportional to 1,028.57, 1,419.47 and 586.46

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Solution

The fourth proportional to 1,028.57, 1,419.47 and 586.46 is: 809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.57 : 1,419.47 = 586.46 : x
  2. Step 2: Convert to fraction form
    1,028.57/1,419.47 = 586.46/x
  3. Step 3: Cross multiply
    1,028.57x = 1,419.47 × 586.46
  4. Step 4: Simplify right side
    1,028.57x = 832,462.38
  5. Step 5: Solve for x
    x = 832,462.38/1,028.57
  6. Step 6: Final answer
    x = 809.34

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1.5x scale

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.