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Finding the Fourth Proportional to 957.12, 1,433.92 and 592.32

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Solution

The fourth proportional to 957.12, 1,433.92 and 592.32 is: 887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.12 : 1,433.92 = 592.32 : x
  2. Step 2: Convert to fraction form
    957.12/1,433.92 = 592.32/x
  3. Step 3: Cross multiply
    957.12x = 1,433.92 × 592.32
  4. Step 4: Simplify right side
    957.12x = 849,339.49
  5. Step 5: Solve for x
    x = 849,339.49/957.12
  6. Step 6: Final answer
    x = 887.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.