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Finding the Fourth Proportional to 1,303.50, 1,798.55 and 772.55

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Solution

The fourth proportional to 1,303.50, 1,798.55 and 772.55 is: 1,065.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.50 : 1,798.55 = 772.55 : x
  2. Step 2: Convert to fraction form
    1,303.50/1,798.55 = 772.55/x
  3. Step 3: Cross multiply
    1,303.50x = 1,798.55 × 772.55
  4. Step 4: Simplify right side
    1,303.50x = 1,389,467.55
  5. Step 5: Solve for x
    x = 1,389,467.55/1,303.50
  6. Step 6: Final answer
    x = 1,065.95

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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.