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Finding the Fourth Proportional to 1,504.90, 2,077.73 and 946.14

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Solution

The fourth proportional to 1,504.90, 2,077.73 and 946.14 is: 1,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.90 : 2,077.73 = 946.14 : x
  2. Step 2: Convert to fraction form
    1,504.90/2,077.73 = 946.14/x
  3. Step 3: Cross multiply
    1,504.90x = 2,077.73 × 946.14
  4. Step 4: Simplify right side
    1,504.90x = 1,965,823.46
  5. Step 5: Solve for x
    x = 1,965,823.46/1,504.90
  6. Step 6: Final answer
    x = 1,306.28

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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.