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Finding the Fourth Proportional to 1,040.67, 1,435.64 and 642.00

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Solution

The fourth proportional to 1,040.67, 1,435.64 and 642.00 is: 885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.67 : 1,435.64 = 642.00 : x
  2. Step 2: Convert to fraction form
    1,040.67/1,435.64 = 642.00/x
  3. Step 3: Cross multiply
    1,040.67x = 1,435.64 × 642.00
  4. Step 4: Simplify right side
    1,040.67x = 921,677.29
  5. Step 5: Solve for x
    x = 921,677.29/1,040.67
  6. Step 6: Final answer
    x = 885.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.