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Finding the Fourth Proportional to 1,083.85, 1,490.97 and 950.47

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Solution

The fourth proportional to 1,083.85, 1,490.97 and 950.47 is: 1,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.85 : 1,490.97 = 950.47 : x
  2. Step 2: Convert to fraction form
    1,083.85/1,490.97 = 950.47/x
  3. Step 3: Cross multiply
    1,083.85x = 1,490.97 × 950.47
  4. Step 4: Simplify right side
    1,083.85x = 1,417,122.26
  5. Step 5: Solve for x
    x = 1,417,122.26/1,083.85
  6. Step 6: Final answer
    x = 1,307.49

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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.