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Finding the Fourth Proportional to 953.34, 1,421.45 and 871.98

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Solution

The fourth proportional to 953.34, 1,421.45 and 871.98 is: 1,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.34 : 1,421.45 = 871.98 : x
  2. Step 2: Convert to fraction form
    953.34/1,421.45 = 871.98/x
  3. Step 3: Cross multiply
    953.34x = 1,421.45 × 871.98
  4. Step 4: Simplify right side
    953.34x = 1,239,471.61
  5. Step 5: Solve for x
    x = 1,239,471.61/953.34
  6. Step 6: Final answer
    x = 1,300.14

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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.