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Finding the Fourth Proportional to 715.34, 1,072.48 and 483.65

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Solution

The fourth proportional to 715.34, 1,072.48 and 483.65 is: 725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.34 : 1,072.48 = 483.65 : x
  2. Step 2: Convert to fraction form
    715.34/1,072.48 = 483.65/x
  3. Step 3: Cross multiply
    715.34x = 1,072.48 × 483.65
  4. Step 4: Simplify right side
    715.34x = 518,702.53
  5. Step 5: Solve for x
    x = 518,702.53/715.34
  6. Step 6: Final answer
    x = 725.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.