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Finding the Fourth Proportional to 1,390.20, 1,918.74 and 893.46

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Solution

The fourth proportional to 1,390.20, 1,918.74 and 893.46 is: 1,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.20 : 1,918.74 = 893.46 : x
  2. Step 2: Convert to fraction form
    1,390.20/1,918.74 = 893.46/x
  3. Step 3: Cross multiply
    1,390.20x = 1,918.74 × 893.46
  4. Step 4: Simplify right side
    1,390.20x = 1,714,317.44
  5. Step 5: Solve for x
    x = 1,714,317.44/1,390.20
  6. Step 6: Final answer
    x = 1,233.14

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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.