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Finding the Fourth Proportional to 1,535.79, 2,303.19 and 611.19

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Solution

The fourth proportional to 1,535.79, 2,303.19 and 611.19 is: 916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.79 : 2,303.19 = 611.19 : x
  2. Step 2: Convert to fraction form
    1,535.79/2,303.19 = 611.19/x
  3. Step 3: Cross multiply
    1,535.79x = 2,303.19 × 611.19
  4. Step 4: Simplify right side
    1,535.79x = 1,407,686.70
  5. Step 5: Solve for x
    x = 1,407,686.70/1,535.79
  6. Step 6: Final answer
    x = 916.59

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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.