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Finding the Fourth Proportional to 714.52, 1,071.87 and 275.67

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Solution

The fourth proportional to 714.52, 1,071.87 and 275.67 is: 413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.52 : 1,071.87 = 275.67 : x
  2. Step 2: Convert to fraction form
    714.52/1,071.87 = 275.67/x
  3. Step 3: Cross multiply
    714.52x = 1,071.87 × 275.67
  4. Step 4: Simplify right side
    714.52x = 295,482.40
  5. Step 5: Solve for x
    x = 295,482.40/714.52
  6. Step 6: Final answer
    x = 413.54

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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.