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Finding the Fourth Proportional to 1,110.42, 1,665.36 and 525.06

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Solution

The fourth proportional to 1,110.42, 1,665.36 and 525.06 is: 787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.42 : 1,665.36 = 525.06 : x
  2. Step 2: Convert to fraction form
    1,110.42/1,665.36 = 525.06/x
  3. Step 3: Cross multiply
    1,110.42x = 1,665.36 × 525.06
  4. Step 4: Simplify right side
    1,110.42x = 874,413.92
  5. Step 5: Solve for x
    x = 874,413.92/1,110.42
  6. Step 6: Final answer
    x = 787.46

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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.