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Finding the Fourth Proportional to 874.63, 1,312.47 and 784.99

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Solution

The fourth proportional to 874.63, 1,312.47 and 784.99 is: 1,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.63 : 1,312.47 = 784.99 : x
  2. Step 2: Convert to fraction form
    874.63/1,312.47 = 784.99/x
  3. Step 3: Cross multiply
    874.63x = 1,312.47 × 784.99
  4. Step 4: Simplify right side
    874.63x = 1,030,275.83
  5. Step 5: Solve for x
    x = 1,030,275.83/874.63
  6. Step 6: Final answer
    x = 1,177.96

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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.