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Finding the Fourth Proportional to 773,906, 1,160,858.82 and 507,605

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Solution

The fourth proportional to 773,906, 1,160,858.82 and 507,605 is: 761,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,906 : 1,160,858.82 = 507,605 : x
  2. Step 2: Convert to fraction form
    773,906/1,160,858.82 = 507,605/x
  3. Step 3: Cross multiply
    773,906x = 1,160,858.82 × 507,605
  4. Step 4: Simplify right side
    773,906x = 589,257,741,326.10
  5. Step 5: Solve for x
    x = 589,257,741,326.10/773,906
  6. Step 6: Final answer
    x = 761,407.38

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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.