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Finding the Fourth Proportional to 970.98, 1,340.42 and 598.28

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Solution

The fourth proportional to 970.98, 1,340.42 and 598.28 is: 825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.98 : 1,340.42 = 598.28 : x
  2. Step 2: Convert to fraction form
    970.98/1,340.42 = 598.28/x
  3. Step 3: Cross multiply
    970.98x = 1,340.42 × 598.28
  4. Step 4: Simplify right side
    970.98x = 801,936.78
  5. Step 5: Solve for x
    x = 801,936.78/970.98
  6. Step 6: Final answer
    x = 825.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.