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Finding the Fourth Proportional to 1,758.63, 2,637.09 and 525.61

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Solution

The fourth proportional to 1,758.63, 2,637.09 and 525.61 is: 788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.63 : 2,637.09 = 525.61 : x
  2. Step 2: Convert to fraction form
    1,758.63/2,637.09 = 525.61/x
  3. Step 3: Cross multiply
    1,758.63x = 2,637.09 × 525.61
  4. Step 4: Simplify right side
    1,758.63x = 1,386,074.28
  5. Step 5: Solve for x
    x = 1,386,074.28/1,758.63
  6. Step 6: Final answer
    x = 788.16

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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.