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Finding the Fourth Proportional to 1,283.02, 1,921.80 and 632.40

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Solution

The fourth proportional to 1,283.02, 1,921.80 and 632.40 is: 947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.02 : 1,921.80 = 632.40 : x
  2. Step 2: Convert to fraction form
    1,283.02/1,921.80 = 632.40/x
  3. Step 3: Cross multiply
    1,283.02x = 1,921.80 × 632.40
  4. Step 4: Simplify right side
    1,283.02x = 1,215,346.32
  5. Step 5: Solve for x
    x = 1,215,346.32/1,283.02
  6. Step 6: Final answer
    x = 947.25

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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.