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Finding the Fourth Proportional to 1,000.23, 1,500.51 and 452.12

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Solution

The fourth proportional to 1,000.23, 1,500.51 and 452.12 is: 678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.23 : 1,500.51 = 452.12 : x
  2. Step 2: Convert to fraction form
    1,000.23/1,500.51 = 452.12/x
  3. Step 3: Cross multiply
    1,000.23x = 1,500.51 × 452.12
  4. Step 4: Simplify right side
    1,000.23x = 678,402.23
  5. Step 5: Solve for x
    x = 678,402.23/1,000.23
  6. Step 6: Final answer
    x = 678.24

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1.5x scale

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.