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Finding the Fourth Proportional to 1,428.16, 1,970.05 and 838.58

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Solution

The fourth proportional to 1,428.16, 1,970.05 and 838.58 is: 1,156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.16 : 1,970.05 = 838.58 : x
  2. Step 2: Convert to fraction form
    1,428.16/1,970.05 = 838.58/x
  3. Step 3: Cross multiply
    1,428.16x = 1,970.05 × 838.58
  4. Step 4: Simplify right side
    1,428.16x = 1,652,040.34
  5. Step 5: Solve for x
    x = 1,652,040.34/1,428.16
  6. Step 6: Final answer
    x = 1,156.77

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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.