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Finding the Fourth Proportional to 1,598.81, 2,205.68 and 969.17

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Solution

The fourth proportional to 1,598.81, 2,205.68 and 969.17 is: 1,337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.81 : 2,205.68 = 969.17 : x
  2. Step 2: Convert to fraction form
    1,598.81/2,205.68 = 969.17/x
  3. Step 3: Cross multiply
    1,598.81x = 2,205.68 × 969.17
  4. Step 4: Simplify right side
    1,598.81x = 2,137,663.01
  5. Step 5: Solve for x
    x = 2,137,663.01/1,598.81
  6. Step 6: Final answer
    x = 1,337.04

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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.