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Finding the Fourth Proportional to 1,531.51, 2,297.25 and 435.87

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Solution

The fourth proportional to 1,531.51, 2,297.25 and 435.87 is: 653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.51 : 2,297.25 = 435.87 : x
  2. Step 2: Convert to fraction form
    1,531.51/2,297.25 = 435.87/x
  3. Step 3: Cross multiply
    1,531.51x = 2,297.25 × 435.87
  4. Step 4: Simplify right side
    1,531.51x = 1,001,302.36
  5. Step 5: Solve for x
    x = 1,001,302.36/1,531.51
  6. Step 6: Final answer
    x = 653.80

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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.