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Finding the Fourth Proportional to 970.10, 1,338.85 and 577.12

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Solution

The fourth proportional to 970.10, 1,338.85 and 577.12 is: 796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.10 : 1,338.85 = 577.12 : x
  2. Step 2: Convert to fraction form
    970.10/1,338.85 = 577.12/x
  3. Step 3: Cross multiply
    970.10x = 1,338.85 × 577.12
  4. Step 4: Simplify right side
    970.10x = 772,677.11
  5. Step 5: Solve for x
    x = 772,677.11/970.10
  6. Step 6: Final answer
    x = 796.49

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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.