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Finding the Fourth Proportional to 1,510.00, 2,264.96 and 414.45

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Solution

The fourth proportional to 1,510.00, 2,264.96 and 414.45 is: 621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.00 : 2,264.96 = 414.45 : x
  2. Step 2: Convert to fraction form
    1,510.00/2,264.96 = 414.45/x
  3. Step 3: Cross multiply
    1,510.00x = 2,264.96 × 414.45
  4. Step 4: Simplify right side
    1,510.00x = 938,713.71
  5. Step 5: Solve for x
    x = 938,713.71/1,510.00
  6. Step 6: Final answer
    x = 621.67

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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.