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Finding the Fourth Proportional to 718.52, 1,078.07 and 307.65

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Solution

The fourth proportional to 718.52, 1,078.07 and 307.65 is: 461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.52 : 1,078.07 = 307.65 : x
  2. Step 2: Convert to fraction form
    718.52/1,078.07 = 307.65/x
  3. Step 3: Cross multiply
    718.52x = 1,078.07 × 307.65
  4. Step 4: Simplify right side
    718.52x = 331,666.70
  5. Step 5: Solve for x
    x = 331,666.70/718.52
  6. Step 6: Final answer
    x = 461.60

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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.