Home / 1,564.11-2,345.70-589.98

Finding the Fourth Proportional to 1,564.11, 2,345.70 and 589.98

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Solution

The fourth proportional to 1,564.11, 2,345.70 and 589.98 is: 884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.11 : 2,345.70 = 589.98 : x
  2. Step 2: Convert to fraction form
    1,564.11/2,345.70 = 589.98/x
  3. Step 3: Cross multiply
    1,564.11x = 2,345.70 × 589.98
  4. Step 4: Simplify right side
    1,564.11x = 1,383,916.09
  5. Step 5: Solve for x
    x = 1,383,916.09/1,564.11
  6. Step 6: Final answer
    x = 884.79

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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.