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Finding the Fourth Proportional to 921.76, 1,271.65 and 590.11

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Solution

The fourth proportional to 921.76, 1,271.65 and 590.11 is: 814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.76 : 1,271.65 = 590.11 : x
  2. Step 2: Convert to fraction form
    921.76/1,271.65 = 590.11/x
  3. Step 3: Cross multiply
    921.76x = 1,271.65 × 590.11
  4. Step 4: Simplify right side
    921.76x = 750,413.38
  5. Step 5: Solve for x
    x = 750,413.38/921.76
  6. Step 6: Final answer
    x = 814.11

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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.