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Finding the Fourth Proportional to 1,022.75, 1,411.43 and 557.03

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Solution

The fourth proportional to 1,022.75, 1,411.43 and 557.03 is: 768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.75 : 1,411.43 = 557.03 : x
  2. Step 2: Convert to fraction form
    1,022.75/1,411.43 = 557.03/x
  3. Step 3: Cross multiply
    1,022.75x = 1,411.43 × 557.03
  4. Step 4: Simplify right side
    1,022.75x = 786,206.07
  5. Step 5: Solve for x
    x = 786,206.07/1,022.75
  6. Step 6: Final answer
    x = 768.72

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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.