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Finding the Fourth Proportional to 885.47, 1,328.94 and 783

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Solution

The fourth proportional to 885.47, 1,328.94 and 783 is: 1,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.47 : 1,328.94 = 783 : x
  2. Step 2: Convert to fraction form
    885.47/1,328.94 = 783/x
  3. Step 3: Cross multiply
    885.47x = 1,328.94 × 783
  4. Step 4: Simplify right side
    885.47x = 1,040,560.02
  5. Step 5: Solve for x
    x = 1,040,560.02/885.47
  6. Step 6: Final answer
    x = 1,175.16

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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.