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Finding the Fourth Proportional to 1,040.88, 1,436.16 and 647.76

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Solution

The fourth proportional to 1,040.88, 1,436.16 and 647.76 is: 893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.88 : 1,436.16 = 647.76 : x
  2. Step 2: Convert to fraction form
    1,040.88/1,436.16 = 647.76/x
  3. Step 3: Cross multiply
    1,040.88x = 1,436.16 × 647.76
  4. Step 4: Simplify right side
    1,040.88x = 930,287.00
  5. Step 5: Solve for x
    x = 930,287.00/1,040.88
  6. Step 6: Final answer
    x = 893.75

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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.