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Finding the Fourth Proportional to 642.06, 961.88 and 554.48

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Solution

The fourth proportional to 642.06, 961.88 and 554.48 is: 830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.06 : 961.88 = 554.48 : x
  2. Step 2: Convert to fraction form
    642.06/961.88 = 554.48/x
  3. Step 3: Cross multiply
    642.06x = 961.88 × 554.48
  4. Step 4: Simplify right side
    642.06x = 533,339.25
  5. Step 5: Solve for x
    x = 533,339.25/642.06
  6. Step 6: Final answer
    x = 830.67

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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.