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Finding the Fourth Proportional to 1,262.04, 1,737.36 and 1,040.64

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Solution

The fourth proportional to 1,262.04, 1,737.36 and 1,040.64 is: 1,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.04 : 1,737.36 = 1,040.64 : x
  2. Step 2: Convert to fraction form
    1,262.04/1,737.36 = 1,040.64/x
  3. Step 3: Cross multiply
    1,262.04x = 1,737.36 × 1,040.64
  4. Step 4: Simplify right side
    1,262.04x = 1,807,966.31
  5. Step 5: Solve for x
    x = 1,807,966.31/1,262.04
  6. Step 6: Final answer
    x = 1,432.57

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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.