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Finding the Fourth Proportional to 1,439.40, 1,984.32 and 966.45

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Solution

The fourth proportional to 1,439.40, 1,984.32 and 966.45 is: 1,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.40 : 1,984.32 = 966.45 : x
  2. Step 2: Convert to fraction form
    1,439.40/1,984.32 = 966.45/x
  3. Step 3: Cross multiply
    1,439.40x = 1,984.32 × 966.45
  4. Step 4: Simplify right side
    1,439.40x = 1,917,746.06
  5. Step 5: Solve for x
    x = 1,917,746.06/1,439.40
  6. Step 6: Final answer
    x = 1,332.32

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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.