Home / 1,283.45-1,923.48-590.02

Finding the Fourth Proportional to 1,283.45, 1,923.48 and 590.02

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Solution

The fourth proportional to 1,283.45, 1,923.48 and 590.02 is: 884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.45 : 1,923.48 = 590.02 : x
  2. Step 2: Convert to fraction form
    1,283.45/1,923.48 = 590.02/x
  3. Step 3: Cross multiply
    1,283.45x = 1,923.48 × 590.02
  4. Step 4: Simplify right side
    1,283.45x = 1,134,886.86
  5. Step 5: Solve for x
    x = 1,134,886.86/1,283.45
  6. Step 6: Final answer
    x = 884.25

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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.