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Finding the Fourth Proportional to 957.84, 1,436.16 and 471.12

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Solution

The fourth proportional to 957.84, 1,436.16 and 471.12 is: 706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.84 : 1,436.16 = 471.12 : x
  2. Step 2: Convert to fraction form
    957.84/1,436.16 = 471.12/x
  3. Step 3: Cross multiply
    957.84x = 1,436.16 × 471.12
  4. Step 4: Simplify right side
    957.84x = 676,603.70
  5. Step 5: Solve for x
    x = 676,603.70/957.84
  6. Step 6: Final answer
    x = 706.38

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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.