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Finding the Fourth Proportional to 1,598.52, 2,205.84 and 890.28

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Solution

The fourth proportional to 1,598.52, 2,205.84 and 890.28 is: 1,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.52 : 2,205.84 = 890.28 : x
  2. Step 2: Convert to fraction form
    1,598.52/2,205.84 = 890.28/x
  3. Step 3: Cross multiply
    1,598.52x = 2,205.84 × 890.28
  4. Step 4: Simplify right side
    1,598.52x = 1,963,815.24
  5. Step 5: Solve for x
    x = 1,963,815.24/1,598.52
  6. Step 6: Final answer
    x = 1,228.52

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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.