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Finding the Fourth Proportional to 1,345.60, 2,018.94 and 524.08

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Solution

The fourth proportional to 1,345.60, 2,018.94 and 524.08 is: 786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.60 : 2,018.94 = 524.08 : x
  2. Step 2: Convert to fraction form
    1,345.60/2,018.94 = 524.08/x
  3. Step 3: Cross multiply
    1,345.60x = 2,018.94 × 524.08
  4. Step 4: Simplify right side
    1,345.60x = 1,058,086.08
  5. Step 5: Solve for x
    x = 1,058,086.08/1,345.60
  6. Step 6: Final answer
    x = 786.33

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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.