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Finding the Fourth Proportional to 970.65, 1,454.27 and 846.18

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Solution

The fourth proportional to 970.65, 1,454.27 and 846.18 is: 1,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.65 : 1,454.27 = 846.18 : x
  2. Step 2: Convert to fraction form
    970.65/1,454.27 = 846.18/x
  3. Step 3: Cross multiply
    970.65x = 1,454.27 × 846.18
  4. Step 4: Simplify right side
    970.65x = 1,230,569.96
  5. Step 5: Solve for x
    x = 1,230,569.96/970.65
  6. Step 6: Final answer
    x = 1,267.78

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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.