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Finding the Fourth Proportional to 1,528.09, 2,291.70 and 590.82

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Solution

The fourth proportional to 1,528.09, 2,291.70 and 590.82 is: 886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.09 : 2,291.70 = 590.82 : x
  2. Step 2: Convert to fraction form
    1,528.09/2,291.70 = 590.82/x
  3. Step 3: Cross multiply
    1,528.09x = 2,291.70 × 590.82
  4. Step 4: Simplify right side
    1,528.09x = 1,353,970.74
  5. Step 5: Solve for x
    x = 1,353,970.74/1,528.09
  6. Step 6: Final answer
    x = 886.06

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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.