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Finding the Fourth Proportional to 1,299.65, 1,948.93 and 477.77

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Solution

The fourth proportional to 1,299.65, 1,948.93 and 477.77 is: 716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.65 : 1,948.93 = 477.77 : x
  2. Step 2: Convert to fraction form
    1,299.65/1,948.93 = 477.77/x
  3. Step 3: Cross multiply
    1,299.65x = 1,948.93 × 477.77
  4. Step 4: Simplify right side
    1,299.65x = 931,129.35
  5. Step 5: Solve for x
    x = 931,129.35/1,299.65
  6. Step 6: Final answer
    x = 716.45

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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.