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Finding the Fourth Proportional to 683.51, 1,024.69 and 585.63

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Solution

The fourth proportional to 683.51, 1,024.69 and 585.63 is: 877.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.51 : 1,024.69 = 585.63 : x
  2. Step 2: Convert to fraction form
    683.51/1,024.69 = 585.63/x
  3. Step 3: Cross multiply
    683.51x = 1,024.69 × 585.63
  4. Step 4: Simplify right side
    683.51x = 600,089.20
  5. Step 5: Solve for x
    x = 600,089.20/683.51
  6. Step 6: Final answer
    x = 877.95

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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.