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Finding the Fourth Proportional to 912, 1,258.56 and 824.64

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Solution

The fourth proportional to 912, 1,258.56 and 824.64 is: 1,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    912 : 1,258.56 = 824.64 : x
  2. Step 2: Convert to fraction form
    912/1,258.56 = 824.64/x
  3. Step 3: Cross multiply
    912x = 1,258.56 × 824.64
  4. Step 4: Simplify right side
    912x = 1,037,858.92
  5. Step 5: Solve for x
    x = 1,037,858.92/912
  6. Step 6: Final answer
    x = 1,138.00

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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.