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Finding the Fourth Proportional to 947.76, 1,402.08 and 947.76

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Solution

The fourth proportional to 947.76, 1,402.08 and 947.76 is: 1,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.76 : 1,402.08 = 947.76 : x
  2. Step 2: Convert to fraction form
    947.76/1,402.08 = 947.76/x
  3. Step 3: Cross multiply
    947.76x = 1,402.08 × 947.76
  4. Step 4: Simplify right side
    947.76x = 1,328,835.34
  5. Step 5: Solve for x
    x = 1,328,835.34/947.76
  6. Step 6: Final answer
    x = 1,402.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.