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Finding the Fourth Proportional to 1,040.02, 1,433.04 and 707.86

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Solution

The fourth proportional to 1,040.02, 1,433.04 and 707.86 is: 975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.02 : 1,433.04 = 707.86 : x
  2. Step 2: Convert to fraction form
    1,040.02/1,433.04 = 707.86/x
  3. Step 3: Cross multiply
    1,040.02x = 1,433.04 × 707.86
  4. Step 4: Simplify right side
    1,040.02x = 1,014,391.69
  5. Step 5: Solve for x
    x = 1,014,391.69/1,040.02
  6. Step 6: Final answer
    x = 975.36

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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.