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Finding the Fourth Proportional to 923.60, 1,379.18 and 802.16

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Solution

The fourth proportional to 923.60, 1,379.18 and 802.16 is: 1,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.60 : 1,379.18 = 802.16 : x
  2. Step 2: Convert to fraction form
    923.60/1,379.18 = 802.16/x
  3. Step 3: Cross multiply
    923.60x = 1,379.18 × 802.16
  4. Step 4: Simplify right side
    923.60x = 1,106,323.03
  5. Step 5: Solve for x
    x = 1,106,323.03/923.60
  6. Step 6: Final answer
    x = 1,197.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.