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Finding the Fourth Proportional to 1,398.18, 1,925.28 and 955.32

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Solution

The fourth proportional to 1,398.18, 1,925.28 and 955.32 is: 1,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.18 : 1,925.28 = 955.32 : x
  2. Step 2: Convert to fraction form
    1,398.18/1,925.28 = 955.32/x
  3. Step 3: Cross multiply
    1,398.18x = 1,925.28 × 955.32
  4. Step 4: Simplify right side
    1,398.18x = 1,839,258.49
  5. Step 5: Solve for x
    x = 1,839,258.49/1,398.18
  6. Step 6: Final answer
    x = 1,315.47

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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.