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Finding the Fourth Proportional to 1,054.65, 1,582.25 and 324.21

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Solution

The fourth proportional to 1,054.65, 1,582.25 and 324.21 is: 486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.65 : 1,582.25 = 324.21 : x
  2. Step 2: Convert to fraction form
    1,054.65/1,582.25 = 324.21/x
  3. Step 3: Cross multiply
    1,054.65x = 1,582.25 × 324.21
  4. Step 4: Simplify right side
    1,054.65x = 512,981.27
  5. Step 5: Solve for x
    x = 512,981.27/1,054.65
  6. Step 6: Final answer
    x = 486.40

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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.