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Finding the Fourth Proportional to 1,000.94, 1,500.64 and 385.16

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Solution

The fourth proportional to 1,000.94, 1,500.64 and 385.16 is: 577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.94 : 1,500.64 = 385.16 : x
  2. Step 2: Convert to fraction form
    1,000.94/1,500.64 = 385.16/x
  3. Step 3: Cross multiply
    1,000.94x = 1,500.64 × 385.16
  4. Step 4: Simplify right side
    1,000.94x = 577,978.04
  5. Step 5: Solve for x
    x = 577,978.04/1,000.94
  6. Step 6: Final answer
    x = 577.44

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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.