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Finding the Fourth Proportional to 1,390.45, 1,918.80 and 801.01

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Solution

The fourth proportional to 1,390.45, 1,918.80 and 801.01 is: 1,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.45 : 1,918.80 = 801.01 : x
  2. Step 2: Convert to fraction form
    1,390.45/1,918.80 = 801.01/x
  3. Step 3: Cross multiply
    1,390.45x = 1,918.80 × 801.01
  4. Step 4: Simplify right side
    1,390.45x = 1,536,977.99
  5. Step 5: Solve for x
    x = 1,536,977.99/1,390.45
  6. Step 6: Final answer
    x = 1,105.38

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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.