Home / 1,028.18-1,542.80-595.64

Finding the Fourth Proportional to 1,028.18, 1,542.80 and 595.64

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Solution

The fourth proportional to 1,028.18, 1,542.80 and 595.64 is: 893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.18 : 1,542.80 = 595.64 : x
  2. Step 2: Convert to fraction form
    1,028.18/1,542.80 = 595.64/x
  3. Step 3: Cross multiply
    1,028.18x = 1,542.80 × 595.64
  4. Step 4: Simplify right side
    1,028.18x = 918,953.39
  5. Step 5: Solve for x
    x = 918,953.39/1,028.18
  6. Step 6: Final answer
    x = 893.77

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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.