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Finding the Fourth Proportional to 676.40, 1,009.60 and 585.68

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Solution

The fourth proportional to 676.40, 1,009.60 and 585.68 is: 874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.40 : 1,009.60 = 585.68 : x
  2. Step 2: Convert to fraction form
    676.40/1,009.60 = 585.68/x
  3. Step 3: Cross multiply
    676.40x = 1,009.60 × 585.68
  4. Step 4: Simplify right side
    676.40x = 591,302.53
  5. Step 5: Solve for x
    x = 591,302.53/676.40
  6. Step 6: Final answer
    x = 874.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.