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Finding the Fourth Proportional to 970.11, 1,460.93 and 873.74

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Solution

The fourth proportional to 970.11, 1,460.93 and 873.74 is: 1,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.11 : 1,460.93 = 873.74 : x
  2. Step 2: Convert to fraction form
    970.11/1,460.93 = 873.74/x
  3. Step 3: Cross multiply
    970.11x = 1,460.93 × 873.74
  4. Step 4: Simplify right side
    970.11x = 1,276,472.26
  5. Step 5: Solve for x
    x = 1,276,472.26/970.11
  6. Step 6: Final answer
    x = 1,315.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.