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Finding the Fourth Proportional to 1,303.19, 1,952.31 and 774.98

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Solution

The fourth proportional to 1,303.19, 1,952.31 and 774.98 is: 1,161.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.19 : 1,952.31 = 774.98 : x
  2. Step 2: Convert to fraction form
    1,303.19/1,952.31 = 774.98/x
  3. Step 3: Cross multiply
    1,303.19x = 1,952.31 × 774.98
  4. Step 4: Simplify right side
    1,303.19x = 1,513,001.20
  5. Step 5: Solve for x
    x = 1,513,001.20/1,303.19
  6. Step 6: Final answer
    x = 1,161.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.