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Finding the Fourth Proportional to 970.16, 1,456.20 and 756.08

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Solution

The fourth proportional to 970.16, 1,456.20 and 756.08 is: 1,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.16 : 1,456.20 = 756.08 : x
  2. Step 2: Convert to fraction form
    970.16/1,456.20 = 756.08/x
  3. Step 3: Cross multiply
    970.16x = 1,456.20 × 756.08
  4. Step 4: Simplify right side
    970.16x = 1,101,003.70
  5. Step 5: Solve for x
    x = 1,101,003.70/970.16
  6. Step 6: Final answer
    x = 1,134.87

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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.