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Finding the Fourth Proportional to 1,420.69, 1,959.02 and 889.38

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Solution

The fourth proportional to 1,420.69, 1,959.02 and 889.38 is: 1,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.69 : 1,959.02 = 889.38 : x
  2. Step 2: Convert to fraction form
    1,420.69/1,959.02 = 889.38/x
  3. Step 3: Cross multiply
    1,420.69x = 1,959.02 × 889.38
  4. Step 4: Simplify right side
    1,420.69x = 1,742,313.21
  5. Step 5: Solve for x
    x = 1,742,313.21/1,420.69
  6. Step 6: Final answer
    x = 1,226.39

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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.