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Finding the Fourth Proportional to 1,294.71, 1,786.74 and 705.29

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Solution

The fourth proportional to 1,294.71, 1,786.74 and 705.29 is: 973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.71 : 1,786.74 = 705.29 : x
  2. Step 2: Convert to fraction form
    1,294.71/1,786.74 = 705.29/x
  3. Step 3: Cross multiply
    1,294.71x = 1,786.74 × 705.29
  4. Step 4: Simplify right side
    1,294.71x = 1,260,160.92
  5. Step 5: Solve for x
    x = 1,260,160.92/1,294.71
  6. Step 6: Final answer
    x = 973.32

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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.