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Finding the Fourth Proportional to 1,000.67, 1,501.23 and 307.40

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Solution

The fourth proportional to 1,000.67, 1,501.23 and 307.40 is: 461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.67 : 1,501.23 = 307.40 : x
  2. Step 2: Convert to fraction form
    1,000.67/1,501.23 = 307.40/x
  3. Step 3: Cross multiply
    1,000.67x = 1,501.23 × 307.40
  4. Step 4: Simplify right side
    1,000.67x = 461,478.10
  5. Step 5: Solve for x
    x = 461,478.10/1,000.67
  6. Step 6: Final answer
    x = 461.17

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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.