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Finding the Fourth Proportional to 1,019.64, 1,405.56 and 625.98

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Solution

The fourth proportional to 1,019.64, 1,405.56 and 625.98 is: 862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.64 : 1,405.56 = 625.98 : x
  2. Step 2: Convert to fraction form
    1,019.64/1,405.56 = 625.98/x
  3. Step 3: Cross multiply
    1,019.64x = 1,405.56 × 625.98
  4. Step 4: Simplify right side
    1,019.64x = 879,852.45
  5. Step 5: Solve for x
    x = 879,852.45/1,019.64
  6. Step 6: Final answer
    x = 862.90

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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.