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Finding the Fourth Proportional to 1,438.68, 1,985.38 and 942.16

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Solution

The fourth proportional to 1,438.68, 1,985.38 and 942.16 is: 1,300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.68 : 1,985.38 = 942.16 : x
  2. Step 2: Convert to fraction form
    1,438.68/1,985.38 = 942.16/x
  3. Step 3: Cross multiply
    1,438.68x = 1,985.38 × 942.16
  4. Step 4: Simplify right side
    1,438.68x = 1,870,545.62
  5. Step 5: Solve for x
    x = 1,870,545.62/1,438.68
  6. Step 6: Final answer
    x = 1,300.18

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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.