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Finding the Fourth Proportional to 1,398, 1,929.32 and 777.04

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Solution

The fourth proportional to 1,398, 1,929.32 and 777.04 is: 1,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398 : 1,929.32 = 777.04 : x
  2. Step 2: Convert to fraction form
    1,398/1,929.32 = 777.04/x
  3. Step 3: Cross multiply
    1,398x = 1,929.32 × 777.04
  4. Step 4: Simplify right side
    1,398x = 1,499,158.81
  5. Step 5: Solve for x
    x = 1,499,158.81/1,398
  6. Step 6: Final answer
    x = 1,072.36

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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.