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Finding the Fourth Proportional to 1,622.58, 2,434.16 and 526.96

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Solution

The fourth proportional to 1,622.58, 2,434.16 and 526.96 is: 790.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.58 : 2,434.16 = 526.96 : x
  2. Step 2: Convert to fraction form
    1,622.58/2,434.16 = 526.96/x
  3. Step 3: Cross multiply
    1,622.58x = 2,434.16 × 526.96
  4. Step 4: Simplify right side
    1,622.58x = 1,282,704.95
  5. Step 5: Solve for x
    x = 1,282,704.95/1,622.58
  6. Step 6: Final answer
    x = 790.53

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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.