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Finding the Fourth Proportional to 882.12, 1,312.07 and 879.16

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Solution

The fourth proportional to 882.12, 1,312.07 and 879.16 is: 1,307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.12 : 1,312.07 = 879.16 : x
  2. Step 2: Convert to fraction form
    882.12/1,312.07 = 879.16/x
  3. Step 3: Cross multiply
    882.12x = 1,312.07 × 879.16
  4. Step 4: Simplify right side
    882.12x = 1,153,519.46
  5. Step 5: Solve for x
    x = 1,153,519.46/882.12
  6. Step 6: Final answer
    x = 1,307.67

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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.