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Finding the Fourth Proportional to 957.86, 1,436.52 and 410.64

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Solution

The fourth proportional to 957.86, 1,436.52 and 410.64 is: 615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.86 : 1,436.52 = 410.64 : x
  2. Step 2: Convert to fraction form
    957.86/1,436.52 = 410.64/x
  3. Step 3: Cross multiply
    957.86x = 1,436.52 × 410.64
  4. Step 4: Simplify right side
    957.86x = 589,894.11
  5. Step 5: Solve for x
    x = 589,894.11/957.86
  6. Step 6: Final answer
    x = 615.84

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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.