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Finding the Fourth Proportional to 1,526.42, 2,290.05 and 648.97

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Solution

The fourth proportional to 1,526.42, 2,290.05 and 648.97 is: 973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.42 : 2,290.05 = 648.97 : x
  2. Step 2: Convert to fraction form
    1,526.42/2,290.05 = 648.97/x
  3. Step 3: Cross multiply
    1,526.42x = 2,290.05 × 648.97
  4. Step 4: Simplify right side
    1,526.42x = 1,486,173.75
  5. Step 5: Solve for x
    x = 1,486,173.75/1,526.42
  6. Step 6: Final answer
    x = 973.63

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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.