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Finding the Fourth Proportional to 1,296.99, 1,943.85 and 647.91

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Solution

The fourth proportional to 1,296.99, 1,943.85 and 647.91 is: 971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.99 : 1,943.85 = 647.91 : x
  2. Step 2: Convert to fraction form
    1,296.99/1,943.85 = 647.91/x
  3. Step 3: Cross multiply
    1,296.99x = 1,943.85 × 647.91
  4. Step 4: Simplify right side
    1,296.99x = 1,259,439.85
  5. Step 5: Solve for x
    x = 1,259,439.85/1,296.99
  6. Step 6: Final answer
    x = 971.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.