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Finding the Fourth Proportional to 608.61, 913.68 and 584.01

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Solution

The fourth proportional to 608.61, 913.68 and 584.01 is: 876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.61 : 913.68 = 584.01 : x
  2. Step 2: Convert to fraction form
    608.61/913.68 = 584.01/x
  3. Step 3: Cross multiply
    608.61x = 913.68 × 584.01
  4. Step 4: Simplify right side
    608.61x = 533,598.26
  5. Step 5: Solve for x
    x = 533,598.26/608.61
  6. Step 6: Final answer
    x = 876.74

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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.