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Finding the Fourth Proportional to 1,399.77, 1,931.18 and 802.11

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Solution

The fourth proportional to 1,399.77, 1,931.18 and 802.11 is: 1,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.77 : 1,931.18 = 802.11 : x
  2. Step 2: Convert to fraction form
    1,399.77/1,931.18 = 802.11/x
  3. Step 3: Cross multiply
    1,399.77x = 1,931.18 × 802.11
  4. Step 4: Simplify right side
    1,399.77x = 1,549,005.12
  5. Step 5: Solve for x
    x = 1,549,005.12/1,399.77
  6. Step 6: Final answer
    x = 1,106.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.