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Finding the Fourth Proportional to 970.40, 1,454.59 and 407.85

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Solution

The fourth proportional to 970.40, 1,454.59 and 407.85 is: 611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.40 : 1,454.59 = 407.85 : x
  2. Step 2: Convert to fraction form
    970.40/1,454.59 = 407.85/x
  3. Step 3: Cross multiply
    970.40x = 1,454.59 × 407.85
  4. Step 4: Simplify right side
    970.40x = 593,247.29
  5. Step 5: Solve for x
    x = 593,247.29/970.40
  6. Step 6: Final answer
    x = 611.34

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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.