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Finding the Fourth Proportional to 686.49, 1,030.68 and 584.43

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Solution

The fourth proportional to 686.49, 1,030.68 and 584.43 is: 877.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.49 : 1,030.68 = 584.43 : x
  2. Step 2: Convert to fraction form
    686.49/1,030.68 = 584.43/x
  3. Step 3: Cross multiply
    686.49x = 1,030.68 × 584.43
  4. Step 4: Simplify right side
    686.49x = 602,360.31
  5. Step 5: Solve for x
    x = 602,360.31/686.49
  6. Step 6: Final answer
    x = 877.45

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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.