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Finding the Fourth Proportional to 1,607.37, 2,409.29 and 632.40

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Solution

The fourth proportional to 1,607.37, 2,409.29 and 632.40 is: 947.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.37 : 2,409.29 = 632.40 : x
  2. Step 2: Convert to fraction form
    1,607.37/2,409.29 = 632.40/x
  3. Step 3: Cross multiply
    1,607.37x = 2,409.29 × 632.40
  4. Step 4: Simplify right side
    1,607.37x = 1,523,635.00
  5. Step 5: Solve for x
    x = 1,523,635.00/1,607.37
  6. Step 6: Final answer
    x = 947.91

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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.