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Finding the Fourth Proportional to 1,510.36, 2,265.60 and 470.38

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Solution

The fourth proportional to 1,510.36, 2,265.60 and 470.38 is: 705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.36 : 2,265.60 = 470.38 : x
  2. Step 2: Convert to fraction form
    1,510.36/2,265.60 = 470.38/x
  3. Step 3: Cross multiply
    1,510.36x = 2,265.60 × 470.38
  4. Step 4: Simplify right side
    1,510.36x = 1,065,692.93
  5. Step 5: Solve for x
    x = 1,065,692.93/1,510.36
  6. Step 6: Final answer
    x = 705.59

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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.