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Finding the Fourth Proportional to 945.12, 1,417.68 and 619.68

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Solution

The fourth proportional to 945.12, 1,417.68 and 619.68 is: 929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.12 : 1,417.68 = 619.68 : x
  2. Step 2: Convert to fraction form
    945.12/1,417.68 = 619.68/x
  3. Step 3: Cross multiply
    945.12x = 1,417.68 × 619.68
  4. Step 4: Simplify right side
    945.12x = 878,507.94
  5. Step 5: Solve for x
    x = 878,507.94/945.12
  6. Step 6: Final answer
    x = 929.52

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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.