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Finding the Fourth Proportional to 1,406.17, 2,109.52 and 703.76

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Solution

The fourth proportional to 1,406.17, 2,109.52 and 703.76 is: 1,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.17 : 2,109.52 = 703.76 : x
  2. Step 2: Convert to fraction form
    1,406.17/2,109.52 = 703.76/x
  3. Step 3: Cross multiply
    1,406.17x = 2,109.52 × 703.76
  4. Step 4: Simplify right side
    1,406.17x = 1,484,586.13
  5. Step 5: Solve for x
    x = 1,484,586.13/1,406.17
  6. Step 6: Final answer
    x = 1,055.76

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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.