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Finding the Fourth Proportional to 1,145.93, 1,718.40 and 415.49

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Solution

The fourth proportional to 1,145.93, 1,718.40 and 415.49 is: 623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.93 : 1,718.40 = 415.49 : x
  2. Step 2: Convert to fraction form
    1,145.93/1,718.40 = 415.49/x
  3. Step 3: Cross multiply
    1,145.93x = 1,718.40 × 415.49
  4. Step 4: Simplify right side
    1,145.93x = 713,978.02
  5. Step 5: Solve for x
    x = 713,978.02/1,145.93
  6. Step 6: Final answer
    x = 623.06

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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.