Home / 1,055.16-1,582.73-285.66

Finding the Fourth Proportional to 1,055.16, 1,582.73 and 285.66

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Solution

The fourth proportional to 1,055.16, 1,582.73 and 285.66 is: 428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.16 : 1,582.73 = 285.66 : x
  2. Step 2: Convert to fraction form
    1,055.16/1,582.73 = 285.66/x
  3. Step 3: Cross multiply
    1,055.16x = 1,582.73 × 285.66
  4. Step 4: Simplify right side
    1,055.16x = 452,123.37
  5. Step 5: Solve for x
    x = 452,123.37/1,055.16
  6. Step 6: Final answer
    x = 428.49

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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.