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Finding the Fourth Proportional to 1,758.42, 2,637.53 and 525.84

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Solution

The fourth proportional to 1,758.42, 2,637.53 and 525.84 is: 788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.42 : 2,637.53 = 525.84 : x
  2. Step 2: Convert to fraction form
    1,758.42/2,637.53 = 525.84/x
  3. Step 3: Cross multiply
    1,758.42x = 2,637.53 × 525.84
  4. Step 4: Simplify right side
    1,758.42x = 1,386,918.78
  5. Step 5: Solve for x
    x = 1,386,918.78/1,758.42
  6. Step 6: Final answer
    x = 788.73

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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.