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Finding the Fourth Proportional to 1,484.19, 2,225.88 and 510.03

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Solution

The fourth proportional to 1,484.19, 2,225.88 and 510.03 is: 764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.19 : 2,225.88 = 510.03 : x
  2. Step 2: Convert to fraction form
    1,484.19/2,225.88 = 510.03/x
  3. Step 3: Cross multiply
    1,484.19x = 2,225.88 × 510.03
  4. Step 4: Simplify right side
    1,484.19x = 1,135,265.58
  5. Step 5: Solve for x
    x = 1,135,265.58/1,484.19
  6. Step 6: Final answer
    x = 764.91

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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.