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Finding the Fourth Proportional to 1,299.74, 1,950.14 and 478.70

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Solution

The fourth proportional to 1,299.74, 1,950.14 and 478.70 is: 718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.74 : 1,950.14 = 478.70 : x
  2. Step 2: Convert to fraction form
    1,299.74/1,950.14 = 478.70/x
  3. Step 3: Cross multiply
    1,299.74x = 1,950.14 × 478.70
  4. Step 4: Simplify right side
    1,299.74x = 933,534.50
  5. Step 5: Solve for x
    x = 933,534.50/1,299.74
  6. Step 6: Final answer
    x = 718.25

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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.