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Finding the Fourth Proportional to 1,125.00, 1,687.59 and 509.06

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Solution

The fourth proportional to 1,125.00, 1,687.59 and 509.06 is: 763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.00 : 1,687.59 = 509.06 : x
  2. Step 2: Convert to fraction form
    1,125.00/1,687.59 = 509.06/x
  3. Step 3: Cross multiply
    1,125.00x = 1,687.59 × 509.06
  4. Step 4: Simplify right side
    1,125.00x = 859,076.13
  5. Step 5: Solve for x
    x = 859,076.13/1,125.00
  6. Step 6: Final answer
    x = 763.62

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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.