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Finding the Fourth Proportional to 1,347.51, 2,020.53 and 525.56

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Solution

The fourth proportional to 1,347.51, 2,020.53 and 525.56 is: 788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.51 : 2,020.53 = 525.56 : x
  2. Step 2: Convert to fraction form
    1,347.51/2,020.53 = 525.56/x
  3. Step 3: Cross multiply
    1,347.51x = 2,020.53 × 525.56
  4. Step 4: Simplify right side
    1,347.51x = 1,061,909.19
  5. Step 5: Solve for x
    x = 1,061,909.19/1,347.51
  6. Step 6: Final answer
    x = 788.06

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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.