Home / 1,055.10-1,582.45-285.66

Finding the Fourth Proportional to 1,055.10, 1,582.45 and 285.66

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Solution

The fourth proportional to 1,055.10, 1,582.45 and 285.66 is: 428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.10 : 1,582.45 = 285.66 : x
  2. Step 2: Convert to fraction form
    1,055.10/1,582.45 = 285.66/x
  3. Step 3: Cross multiply
    1,055.10x = 1,582.45 × 285.66
  4. Step 4: Simplify right side
    1,055.10x = 452,042.67
  5. Step 5: Solve for x
    x = 452,042.67/1,055.10
  6. Step 6: Final answer
    x = 428.44

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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.