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Finding the Fourth Proportional to 1,013.14, 1,521.03 and 526.54

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Solution

The fourth proportional to 1,013.14, 1,521.03 and 526.54 is: 790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.14 : 1,521.03 = 526.54 : x
  2. Step 2: Convert to fraction form
    1,013.14/1,521.03 = 526.54/x
  3. Step 3: Cross multiply
    1,013.14x = 1,521.03 × 526.54
  4. Step 4: Simplify right side
    1,013.14x = 800,883.14
  5. Step 5: Solve for x
    x = 800,883.14/1,013.14
  6. Step 6: Final answer
    x = 790.50

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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.