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Finding the Fourth Proportional to 1,437.37, 2,154.32 and 656.31

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Solution

The fourth proportional to 1,437.37, 2,154.32 and 656.31 is: 983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.37 : 2,154.32 = 656.31 : x
  2. Step 2: Convert to fraction form
    1,437.37/2,154.32 = 656.31/x
  3. Step 3: Cross multiply
    1,437.37x = 2,154.32 × 656.31
  4. Step 4: Simplify right side
    1,437.37x = 1,413,901.76
  5. Step 5: Solve for x
    x = 1,413,901.76/1,437.37
  6. Step 6: Final answer
    x = 983.67

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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.