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Finding the Fourth Proportional to 1,437.85, 1,984.32 and 878.16

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Solution

The fourth proportional to 1,437.85, 1,984.32 and 878.16 is: 1,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.85 : 1,984.32 = 878.16 : x
  2. Step 2: Convert to fraction form
    1,437.85/1,984.32 = 878.16/x
  3. Step 3: Cross multiply
    1,437.85x = 1,984.32 × 878.16
  4. Step 4: Simplify right side
    1,437.85x = 1,742,546.06
  5. Step 5: Solve for x
    x = 1,742,546.06/1,437.85
  6. Step 6: Final answer
    x = 1,211.91

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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.