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Finding the Fourth Proportional to 1,015.49, 1,522.52 and 553.49

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Solution

The fourth proportional to 1,015.49, 1,522.52 and 553.49 is: 829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.49 : 1,522.52 = 553.49 : x
  2. Step 2: Convert to fraction form
    1,015.49/1,522.52 = 553.49/x
  3. Step 3: Cross multiply
    1,015.49x = 1,522.52 × 553.49
  4. Step 4: Simplify right side
    1,015.49x = 842,689.21
  5. Step 5: Solve for x
    x = 842,689.21/1,015.49
  6. Step 6: Final answer
    x = 829.84

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.