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Finding the Fourth Proportional to 1,001.16, 1,501.74 and 307.82

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Solution

The fourth proportional to 1,001.16, 1,501.74 and 307.82 is: 461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.16 : 1,501.74 = 307.82 : x
  2. Step 2: Convert to fraction form
    1,001.16/1,501.74 = 307.82/x
  3. Step 3: Cross multiply
    1,001.16x = 1,501.74 × 307.82
  4. Step 4: Simplify right side
    1,001.16x = 462,269.36
  5. Step 5: Solve for x
    x = 462,269.36/1,001.16
  6. Step 6: Final answer
    x = 461.73

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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.