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Finding the Fourth Proportional to 1,134.63, 1,701.63 and 312.71

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Solution

The fourth proportional to 1,134.63, 1,701.63 and 312.71 is: 468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.63 : 1,701.63 = 312.71 : x
  2. Step 2: Convert to fraction form
    1,134.63/1,701.63 = 312.71/x
  3. Step 3: Cross multiply
    1,134.63x = 1,701.63 × 312.71
  4. Step 4: Simplify right side
    1,134.63x = 532,116.72
  5. Step 5: Solve for x
    x = 532,116.72/1,134.63
  6. Step 6: Final answer
    x = 468.98

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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.