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Finding the Fourth Proportional to 1,018.08, 1,526.21 and 368.67

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Solution

The fourth proportional to 1,018.08, 1,526.21 and 368.67 is: 552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.08 : 1,526.21 = 368.67 : x
  2. Step 2: Convert to fraction form
    1,018.08/1,526.21 = 368.67/x
  3. Step 3: Cross multiply
    1,018.08x = 1,526.21 × 368.67
  4. Step 4: Simplify right side
    1,018.08x = 562,667.84
  5. Step 5: Solve for x
    x = 562,667.84/1,018.08
  6. Step 6: Final answer
    x = 552.68

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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.