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Finding the Fourth Proportional to 1,442.52, 2,164.14 and 468.54

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Solution

The fourth proportional to 1,442.52, 2,164.14 and 468.54 is: 702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.52 : 2,164.14 = 468.54 : x
  2. Step 2: Convert to fraction form
    1,442.52/2,164.14 = 468.54/x
  3. Step 3: Cross multiply
    1,442.52x = 2,164.14 × 468.54
  4. Step 4: Simplify right side
    1,442.52x = 1,013,986.16
  5. Step 5: Solve for x
    x = 1,013,986.16/1,442.52
  6. Step 6: Final answer
    x = 702.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.