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Finding the Fourth Proportional to 1,296.23, 1,788.80 and 706.76

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Solution

The fourth proportional to 1,296.23, 1,788.80 and 706.76 is: 975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.23 : 1,788.80 = 706.76 : x
  2. Step 2: Convert to fraction form
    1,296.23/1,788.80 = 706.76/x
  3. Step 3: Cross multiply
    1,296.23x = 1,788.80 × 706.76
  4. Step 4: Simplify right side
    1,296.23x = 1,264,252.29
  5. Step 5: Solve for x
    x = 1,264,252.29/1,296.23
  6. Step 6: Final answer
    x = 975.33

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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.