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Finding the Fourth Proportional to 970.11, 1,332.25 and 830.24

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Solution

The fourth proportional to 970.11, 1,332.25 and 830.24 is: 1,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.11 : 1,332.25 = 830.24 : x
  2. Step 2: Convert to fraction form
    970.11/1,332.25 = 830.24/x
  3. Step 3: Cross multiply
    970.11x = 1,332.25 × 830.24
  4. Step 4: Simplify right side
    970.11x = 1,106,087.24
  5. Step 5: Solve for x
    x = 1,106,087.24/970.11
  6. Step 6: Final answer
    x = 1,140.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.