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Finding the Fourth Proportional to 1,406.76, 2,110.38 and 432.96

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Solution

The fourth proportional to 1,406.76, 2,110.38 and 432.96 is: 649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.76 : 2,110.38 = 432.96 : x
  2. Step 2: Convert to fraction form
    1,406.76/2,110.38 = 432.96/x
  3. Step 3: Cross multiply
    1,406.76x = 2,110.38 × 432.96
  4. Step 4: Simplify right side
    1,406.76x = 913,710.12
  5. Step 5: Solve for x
    x = 913,710.12/1,406.76
  6. Step 6: Final answer
    x = 649.51

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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.