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Finding the Fourth Proportional to 912.16, 1,258.64 and 519.04

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Solution

The fourth proportional to 912.16, 1,258.64 and 519.04 is: 716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.16 : 1,258.64 = 519.04 : x
  2. Step 2: Convert to fraction form
    912.16/1,258.64 = 519.04/x
  3. Step 3: Cross multiply
    912.16x = 1,258.64 × 519.04
  4. Step 4: Simplify right side
    912.16x = 653,284.51
  5. Step 5: Solve for x
    x = 653,284.51/912.16
  6. Step 6: Final answer
    x = 716.20

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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.