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Finding the Fourth Proportional to 945.12, 1,417.80 and 483.24

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Solution

The fourth proportional to 945.12, 1,417.80 and 483.24 is: 724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.12 : 1,417.80 = 483.24 : x
  2. Step 2: Convert to fraction form
    945.12/1,417.80 = 483.24/x
  3. Step 3: Cross multiply
    945.12x = 1,417.80 × 483.24
  4. Step 4: Simplify right side
    945.12x = 685,137.67
  5. Step 5: Solve for x
    x = 685,137.67/945.12
  6. Step 6: Final answer
    x = 724.92

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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.