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Finding the Fourth Proportional to 1,513.64, 2,270.38 and 473.80

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Solution

The fourth proportional to 1,513.64, 2,270.38 and 473.80 is: 710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.64 : 2,270.38 = 473.80 : x
  2. Step 2: Convert to fraction form
    1,513.64/2,270.38 = 473.80/x
  3. Step 3: Cross multiply
    1,513.64x = 2,270.38 × 473.80
  4. Step 4: Simplify right side
    1,513.64x = 1,075,706.04
  5. Step 5: Solve for x
    x = 1,075,706.04/1,513.64
  6. Step 6: Final answer
    x = 710.67

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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.