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Finding the Fourth Proportional to 1,000.16, 1,501.64 and 513.56

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Solution

The fourth proportional to 1,000.16, 1,501.64 and 513.56 is: 771.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.16 : 1,501.64 = 513.56 : x
  2. Step 2: Convert to fraction form
    1,000.16/1,501.64 = 513.56/x
  3. Step 3: Cross multiply
    1,000.16x = 1,501.64 × 513.56
  4. Step 4: Simplify right side
    1,000.16x = 771,182.24
  5. Step 5: Solve for x
    x = 771,182.24/1,000.16
  6. Step 6: Final answer
    x = 771.06

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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.