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Finding the Fourth Proportional to 1,345.63, 2,018.57 and 501.55

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Solution

The fourth proportional to 1,345.63, 2,018.57 and 501.55 is: 752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.63 : 2,018.57 = 501.55 : x
  2. Step 2: Convert to fraction form
    1,345.63/2,018.57 = 501.55/x
  3. Step 3: Cross multiply
    1,345.63x = 2,018.57 × 501.55
  4. Step 4: Simplify right side
    1,345.63x = 1,012,413.78
  5. Step 5: Solve for x
    x = 1,012,413.78/1,345.63
  6. Step 6: Final answer
    x = 752.37

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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.