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Finding the Fourth Proportional to 1,434.92, 1,980.04 and 910.96

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Solution

The fourth proportional to 1,434.92, 1,980.04 and 910.96 is: 1,257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.92 : 1,980.04 = 910.96 : x
  2. Step 2: Convert to fraction form
    1,434.92/1,980.04 = 910.96/x
  3. Step 3: Cross multiply
    1,434.92x = 1,980.04 × 910.96
  4. Step 4: Simplify right side
    1,434.92x = 1,803,737.24
  5. Step 5: Solve for x
    x = 1,803,737.24/1,434.92
  6. Step 6: Final answer
    x = 1,257.03

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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.