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Finding the Fourth Proportional to 970.57, 1,456.13 and 538.03

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Solution

The fourth proportional to 970.57, 1,456.13 and 538.03 is: 807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.57 : 1,456.13 = 538.03 : x
  2. Step 2: Convert to fraction form
    970.57/1,456.13 = 538.03/x
  3. Step 3: Cross multiply
    970.57x = 1,456.13 × 538.03
  4. Step 4: Simplify right side
    970.57x = 783,441.62
  5. Step 5: Solve for x
    x = 783,441.62/970.57
  6. Step 6: Final answer
    x = 807.20

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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.