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Finding the Fourth Proportional to 1,105.58, 1,658.36 and 526.70

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Solution

The fourth proportional to 1,105.58, 1,658.36 and 526.70 is: 790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.58 : 1,658.36 = 526.70 : x
  2. Step 2: Convert to fraction form
    1,105.58/1,658.36 = 526.70/x
  3. Step 3: Cross multiply
    1,105.58x = 1,658.36 × 526.70
  4. Step 4: Simplify right side
    1,105.58x = 873,458.21
  5. Step 5: Solve for x
    x = 873,458.21/1,105.58
  6. Step 6: Final answer
    x = 790.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.