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Finding the Fourth Proportional to 1,432.99, 1,964.65 and 1,407.07

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Solution

The fourth proportional to 1,432.99, 1,964.65 and 1,407.07 is: 1,929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.99 : 1,964.65 = 1,407.07 : x
  2. Step 2: Convert to fraction form
    1,432.99/1,964.65 = 1,407.07/x
  3. Step 3: Cross multiply
    1,432.99x = 1,964.65 × 1,407.07
  4. Step 4: Simplify right side
    1,432.99x = 2,764,396.56
  5. Step 5: Solve for x
    x = 2,764,396.56/1,432.99
  6. Step 6: Final answer
    x = 1,929.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.