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Finding the Fourth Proportional to 970.19, 1,454.66 and 706.74

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Solution

The fourth proportional to 970.19, 1,454.66 and 706.74 is: 1,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.19 : 1,454.66 = 706.74 : x
  2. Step 2: Convert to fraction form
    970.19/1,454.66 = 706.74/x
  3. Step 3: Cross multiply
    970.19x = 1,454.66 × 706.74
  4. Step 4: Simplify right side
    970.19x = 1,028,066.41
  5. Step 5: Solve for x
    x = 1,028,066.41/970.19
  6. Step 6: Final answer
    x = 1,059.65

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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.