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Finding the Fourth Proportional to 735,624, 1,096,998.57 and 728,897.67

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Solution

The fourth proportional to 735,624, 1,096,998.57 and 728,897.67 is: 1,086,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,624 : 1,096,998.57 = 728,897.67 : x
  2. Step 2: Convert to fraction form
    735,624/1,096,998.57 = 728,897.67/x
  3. Step 3: Cross multiply
    735,624x = 1,096,998.57 × 728,897.67
  4. Step 4: Simplify right side
    735,624x = 799,599,701,666.33
  5. Step 5: Solve for x
    x = 799,599,701,666.33/735,624
  6. Step 6: Final answer
    x = 1,086,967.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.