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Finding the Fourth Proportional to 970.07, 1,445.13 and 923.63

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Solution

The fourth proportional to 970.07, 1,445.13 and 923.63 is: 1,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.07 : 1,445.13 = 923.63 : x
  2. Step 2: Convert to fraction form
    970.07/1,445.13 = 923.63/x
  3. Step 3: Cross multiply
    970.07x = 1,445.13 × 923.63
  4. Step 4: Simplify right side
    970.07x = 1,334,758.20
  5. Step 5: Solve for x
    x = 1,334,758.20/970.07
  6. Step 6: Final answer
    x = 1,375.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.