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Finding the Fourth Proportional to 1,054.83, 1,582.29 and 324.45

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Solution

The fourth proportional to 1,054.83, 1,582.29 and 324.45 is: 486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.83 : 1,582.29 = 324.45 : x
  2. Step 2: Convert to fraction form
    1,054.83/1,582.29 = 324.45/x
  3. Step 3: Cross multiply
    1,054.83x = 1,582.29 × 324.45
  4. Step 4: Simplify right side
    1,054.83x = 513,373.99
  5. Step 5: Solve for x
    x = 513,373.99/1,054.83
  6. Step 6: Final answer
    x = 486.69

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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.