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Finding the Fourth Proportional to 1,353.94, 2,030.00 and 623.12

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Solution

The fourth proportional to 1,353.94, 2,030.00 and 623.12 is: 934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.94 : 2,030.00 = 623.12 : x
  2. Step 2: Convert to fraction form
    1,353.94/2,030.00 = 623.12/x
  3. Step 3: Cross multiply
    1,353.94x = 2,030.00 × 623.12
  4. Step 4: Simplify right side
    1,353.94x = 1,264,920.33
  5. Step 5: Solve for x
    x = 1,264,920.33/1,353.94
  6. Step 6: Final answer
    x = 934.25

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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.