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Finding the Fourth Proportional to 970.70, 1,456.05 and 824.90

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Solution

The fourth proportional to 970.70, 1,456.05 and 824.90 is: 1,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.70 : 1,456.05 = 824.90 : x
  2. Step 2: Convert to fraction form
    970.70/1,456.05 = 824.90/x
  3. Step 3: Cross multiply
    970.70x = 1,456.05 × 824.90
  4. Step 4: Simplify right side
    970.70x = 1,201,095.65
  5. Step 5: Solve for x
    x = 1,201,095.65/970.70
  6. Step 6: Final answer
    x = 1,237.35

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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.