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Finding the Fourth Proportional to 937.19, 1,407 and 784.10

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Solution

The fourth proportional to 937.19, 1,407 and 784.10 is: 1,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.19 : 1,407 = 784.10 : x
  2. Step 2: Convert to fraction form
    937.19/1,407 = 784.10/x
  3. Step 3: Cross multiply
    937.19x = 1,407 × 784.10
  4. Step 4: Simplify right side
    937.19x = 1,103,228.70
  5. Step 5: Solve for x
    x = 1,103,228.70/937.19
  6. Step 6: Final answer
    x = 1,177.17

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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.