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Finding the Fourth Proportional to 1,487.86, 2,053.25 and 898.28

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Solution

The fourth proportional to 1,487.86, 2,053.25 and 898.28 is: 1,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.86 : 2,053.25 = 898.28 : x
  2. Step 2: Convert to fraction form
    1,487.86/2,053.25 = 898.28/x
  3. Step 3: Cross multiply
    1,487.86x = 2,053.25 × 898.28
  4. Step 4: Simplify right side
    1,487.86x = 1,844,394.05
  5. Step 5: Solve for x
    x = 1,844,394.05/1,487.86
  6. Step 6: Final answer
    x = 1,239.63

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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.