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Finding the Fourth Proportional to 1,412.84, 1,950.87 and 916.32

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Solution

The fourth proportional to 1,412.84, 1,950.87 and 916.32 is: 1,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.84 : 1,950.87 = 916.32 : x
  2. Step 2: Convert to fraction form
    1,412.84/1,950.87 = 916.32/x
  3. Step 3: Cross multiply
    1,412.84x = 1,950.87 × 916.32
  4. Step 4: Simplify right side
    1,412.84x = 1,787,621.06
  5. Step 5: Solve for x
    x = 1,787,621.06/1,412.84
  6. Step 6: Final answer
    x = 1,265.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.