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Finding the Fourth Proportional to 970.92, 1,457.19 and 538.38

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Solution

The fourth proportional to 970.92, 1,457.19 and 538.38 is: 808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.92 : 1,457.19 = 538.38 : x
  2. Step 2: Convert to fraction form
    970.92/1,457.19 = 538.38/x
  3. Step 3: Cross multiply
    970.92x = 1,457.19 × 538.38
  4. Step 4: Simplify right side
    970.92x = 784,521.95
  5. Step 5: Solve for x
    x = 784,521.95/970.92
  6. Step 6: Final answer
    x = 808.02

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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.