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Finding the Fourth Proportional to 1,259.99, 1,738.31 and 929.21

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Solution

The fourth proportional to 1,259.99, 1,738.31 and 929.21 is: 1,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.99 : 1,738.31 = 929.21 : x
  2. Step 2: Convert to fraction form
    1,259.99/1,738.31 = 929.21/x
  3. Step 3: Cross multiply
    1,259.99x = 1,738.31 × 929.21
  4. Step 4: Simplify right side
    1,259.99x = 1,615,241.70
  5. Step 5: Solve for x
    x = 1,615,241.70/1,259.99
  6. Step 6: Final answer
    x = 1,281.95

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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.