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Finding the Fourth Proportional to 883.76, 1,316.28 and 837.50

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Solution

The fourth proportional to 883.76, 1,316.28 and 837.50 is: 1,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.76 : 1,316.28 = 837.50 : x
  2. Step 2: Convert to fraction form
    883.76/1,316.28 = 837.50/x
  3. Step 3: Cross multiply
    883.76x = 1,316.28 × 837.50
  4. Step 4: Simplify right side
    883.76x = 1,102,384.50
  5. Step 5: Solve for x
    x = 1,102,384.50/883.76
  6. Step 6: Final answer
    x = 1,247.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.