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Finding the Fourth Proportional to 1,314.47, 1,813.29 and 816.92

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Solution

The fourth proportional to 1,314.47, 1,813.29 and 816.92 is: 1,126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.47 : 1,813.29 = 816.92 : x
  2. Step 2: Convert to fraction form
    1,314.47/1,813.29 = 816.92/x
  3. Step 3: Cross multiply
    1,314.47x = 1,813.29 × 816.92
  4. Step 4: Simplify right side
    1,314.47x = 1,481,312.87
  5. Step 5: Solve for x
    x = 1,481,312.87/1,314.47
  6. Step 6: Final answer
    x = 1,126.93

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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.