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Finding the Fourth Proportional to 918.76, 1,267.39 and 582.05

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Solution

The fourth proportional to 918.76, 1,267.39 and 582.05 is: 802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.76 : 1,267.39 = 582.05 : x
  2. Step 2: Convert to fraction form
    918.76/1,267.39 = 582.05/x
  3. Step 3: Cross multiply
    918.76x = 1,267.39 × 582.05
  4. Step 4: Simplify right side
    918.76x = 737,678.27
  5. Step 5: Solve for x
    x = 737,678.27/918.76
  6. Step 6: Final answer
    x = 802.91

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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.