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Finding the Fourth Proportional to 970.94, 1,457.45 and 538.46

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Solution

The fourth proportional to 970.94, 1,457.45 and 538.46 is: 808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.94 : 1,457.45 = 538.46 : x
  2. Step 2: Convert to fraction form
    970.94/1,457.45 = 538.46/x
  3. Step 3: Cross multiply
    970.94x = 1,457.45 × 538.46
  4. Step 4: Simplify right side
    970.94x = 784,778.53
  5. Step 5: Solve for x
    x = 784,778.53/970.94
  6. Step 6: Final answer
    x = 808.27

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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.