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Finding the Fourth Proportional to 947.57, 1,307.61 and 554.65

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Solution

The fourth proportional to 947.57, 1,307.61 and 554.65 is: 765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.57 : 1,307.61 = 554.65 : x
  2. Step 2: Convert to fraction form
    947.57/1,307.61 = 554.65/x
  3. Step 3: Cross multiply
    947.57x = 1,307.61 × 554.65
  4. Step 4: Simplify right side
    947.57x = 725,262.62
  5. Step 5: Solve for x
    x = 725,262.62/947.57
  6. Step 6: Final answer
    x = 765.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.