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Finding the Fourth Proportional to 1,370.81, 1,892.15 and 897.90

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Solution

The fourth proportional to 1,370.81, 1,892.15 and 897.90 is: 1,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.81 : 1,892.15 = 897.90 : x
  2. Step 2: Convert to fraction form
    1,370.81/1,892.15 = 897.90/x
  3. Step 3: Cross multiply
    1,370.81x = 1,892.15 × 897.90
  4. Step 4: Simplify right side
    1,370.81x = 1,698,957.00
  5. Step 5: Solve for x
    x = 1,698,957.00/1,370.81
  6. Step 6: Final answer
    x = 1,239.39

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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.