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Finding the Fourth Proportional to 970.81, 1,455.40 and 385.44

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Solution

The fourth proportional to 970.81, 1,455.40 and 385.44 is: 577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.81 : 1,455.40 = 385.44 : x
  2. Step 2: Convert to fraction form
    970.81/1,455.40 = 385.44/x
  3. Step 3: Cross multiply
    970.81x = 1,455.40 × 385.44
  4. Step 4: Simplify right side
    970.81x = 560,968.41
  5. Step 5: Solve for x
    x = 560,968.41/970.81
  6. Step 6: Final answer
    x = 577.84

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1.5x scale

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.