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Finding the Fourth Proportional to 1,528.29, 2,290.86 and 869.31

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Solution

The fourth proportional to 1,528.29, 2,290.86 and 869.31 is: 1,303.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.29 : 2,290.86 = 869.31 : x
  2. Step 2: Convert to fraction form
    1,528.29/2,290.86 = 869.31/x
  3. Step 3: Cross multiply
    1,528.29x = 2,290.86 × 869.31
  4. Step 4: Simplify right side
    1,528.29x = 1,991,467.51
  5. Step 5: Solve for x
    x = 1,991,467.51/1,528.29
  6. Step 6: Final answer
    x = 1,303.07

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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.