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Finding the Fourth Proportional to 1,047.69, 1,446.12 and 628.07

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Solution

The fourth proportional to 1,047.69, 1,446.12 and 628.07 is: 866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.69 : 1,446.12 = 628.07 : x
  2. Step 2: Convert to fraction form
    1,047.69/1,446.12 = 628.07/x
  3. Step 3: Cross multiply
    1,047.69x = 1,446.12 × 628.07
  4. Step 4: Simplify right side
    1,047.69x = 908,257.36
  5. Step 5: Solve for x
    x = 908,257.36/1,047.69
  6. Step 6: Final answer
    x = 866.91

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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.