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Finding the Fourth Proportional to 945.36, 1,411.47 and 887.04

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Solution

The fourth proportional to 945.36, 1,411.47 and 887.04 is: 1,324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.36 : 1,411.47 = 887.04 : x
  2. Step 2: Convert to fraction form
    945.36/1,411.47 = 887.04/x
  3. Step 3: Cross multiply
    945.36x = 1,411.47 × 887.04
  4. Step 4: Simplify right side
    945.36x = 1,252,030.35
  5. Step 5: Solve for x
    x = 1,252,030.35/945.36
  6. Step 6: Final answer
    x = 1,324.40

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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.