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Finding the Fourth Proportional to 607.34, 916.40 and 584.86

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Solution

The fourth proportional to 607.34, 916.40 and 584.86 is: 882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.34 : 916.40 = 584.86 : x
  2. Step 2: Convert to fraction form
    607.34/916.40 = 584.86/x
  3. Step 3: Cross multiply
    607.34x = 916.40 × 584.86
  4. Step 4: Simplify right side
    607.34x = 535,965.70
  5. Step 5: Solve for x
    x = 535,965.70/607.34
  6. Step 6: Final answer
    x = 882.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.