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Finding the Fourth Proportional to 1,347.17, 2,020.61 and 525.42

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Solution

The fourth proportional to 1,347.17, 2,020.61 and 525.42 is: 788.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.17 : 2,020.61 = 525.42 : x
  2. Step 2: Convert to fraction form
    1,347.17/2,020.61 = 525.42/x
  3. Step 3: Cross multiply
    1,347.17x = 2,020.61 × 525.42
  4. Step 4: Simplify right side
    1,347.17x = 1,061,670.22
  5. Step 5: Solve for x
    x = 1,061,670.22/1,347.17
  6. Step 6: Final answer
    x = 788.08

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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.