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Finding the Fourth Proportional to 1,510.85, 2,266.56 and 470.94

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Solution

The fourth proportional to 1,510.85, 2,266.56 and 470.94 is: 706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.85 : 2,266.56 = 470.94 : x
  2. Step 2: Convert to fraction form
    1,510.85/2,266.56 = 470.94/x
  3. Step 3: Cross multiply
    1,510.85x = 2,266.56 × 470.94
  4. Step 4: Simplify right side
    1,510.85x = 1,067,413.77
  5. Step 5: Solve for x
    x = 1,067,413.77/1,510.85
  6. Step 6: Final answer
    x = 706.50

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1.5x scale

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.