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Finding the Fourth Proportional to 1,475.99, 2,035.73 and 916.79

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Solution

The fourth proportional to 1,475.99, 2,035.73 and 916.79 is: 1,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.99 : 2,035.73 = 916.79 : x
  2. Step 2: Convert to fraction form
    1,475.99/2,035.73 = 916.79/x
  3. Step 3: Cross multiply
    1,475.99x = 2,035.73 × 916.79
  4. Step 4: Simplify right side
    1,475.99x = 1,866,336.91
  5. Step 5: Solve for x
    x = 1,866,336.91/1,475.99
  6. Step 6: Final answer
    x = 1,264.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.