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Finding the Fourth Proportional to 1,320.12, 1,979.28 and 589.32

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Solution

The fourth proportional to 1,320.12, 1,979.28 and 589.32 is: 883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.12 : 1,979.28 = 589.32 : x
  2. Step 2: Convert to fraction form
    1,320.12/1,979.28 = 589.32/x
  3. Step 3: Cross multiply
    1,320.12x = 1,979.28 × 589.32
  4. Step 4: Simplify right side
    1,320.12x = 1,166,429.29
  5. Step 5: Solve for x
    x = 1,166,429.29/1,320.12
  6. Step 6: Final answer
    x = 883.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.