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Finding the Fourth Proportional to 1,303.65, 1,955.94 and 573.43

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Solution

The fourth proportional to 1,303.65, 1,955.94 and 573.43 is: 860.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.65 : 1,955.94 = 573.43 : x
  2. Step 2: Convert to fraction form
    1,303.65/1,955.94 = 573.43/x
  3. Step 3: Cross multiply
    1,303.65x = 1,955.94 × 573.43
  4. Step 4: Simplify right side
    1,303.65x = 1,121,594.67
  5. Step 5: Solve for x
    x = 1,121,594.67/1,303.65
  6. Step 6: Final answer
    x = 860.35

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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.