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Finding the Fourth Proportional to 1,296.30, 1,788.81 and 706.80

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Solution

The fourth proportional to 1,296.30, 1,788.81 and 706.80 is: 975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.30 : 1,788.81 = 706.80 : x
  2. Step 2: Convert to fraction form
    1,296.30/1,788.81 = 706.80/x
  3. Step 3: Cross multiply
    1,296.30x = 1,788.81 × 706.80
  4. Step 4: Simplify right side
    1,296.30x = 1,264,330.91
  5. Step 5: Solve for x
    x = 1,264,330.91/1,296.30
  6. Step 6: Final answer
    x = 975.34

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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.