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Finding the Fourth Proportional to 1,345.69, 2,018.63 and 468.15

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Solution

The fourth proportional to 1,345.69, 2,018.63 and 468.15 is: 702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.69 : 2,018.63 = 468.15 : x
  2. Step 2: Convert to fraction form
    1,345.69/2,018.63 = 468.15/x
  3. Step 3: Cross multiply
    1,345.69x = 2,018.63 × 468.15
  4. Step 4: Simplify right side
    1,345.69x = 945,021.63
  5. Step 5: Solve for x
    x = 945,021.63/1,345.69
  6. Step 6: Final answer
    x = 702.26

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