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Finding the Fourth Proportional to 1,024.26, 1,544.76 and 991.38

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Solution

The fourth proportional to 1,024.26, 1,544.76 and 991.38 is: 1,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.26 : 1,544.76 = 991.38 : x
  2. Step 2: Convert to fraction form
    1,024.26/1,544.76 = 991.38/x
  3. Step 3: Cross multiply
    1,024.26x = 1,544.76 × 991.38
  4. Step 4: Simplify right side
    1,024.26x = 1,531,444.17
  5. Step 5: Solve for x
    x = 1,531,444.17/1,024.26
  6. Step 6: Final answer
    x = 1,495.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.