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Finding the Fourth Proportional to 1,345.16, 2,018.37 and 565.33

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Solution

The fourth proportional to 1,345.16, 2,018.37 and 565.33 is: 848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.16 : 2,018.37 = 565.33 : x
  2. Step 2: Convert to fraction form
    1,345.16/2,018.37 = 565.33/x
  3. Step 3: Cross multiply
    1,345.16x = 2,018.37 × 565.33
  4. Step 4: Simplify right side
    1,345.16x = 1,141,042.79
  5. Step 5: Solve for x
    x = 1,141,042.79/1,345.16
  6. Step 6: Final answer
    x = 848.26

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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.