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Finding the Fourth Proportional to 970.87, 1,455.96 and 385.45

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Solution

The fourth proportional to 970.87, 1,455.96 and 385.45 is: 578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.87 : 1,455.96 = 385.45 : x
  2. Step 2: Convert to fraction form
    970.87/1,455.96 = 385.45/x
  3. Step 3: Cross multiply
    970.87x = 1,455.96 × 385.45
  4. Step 4: Simplify right side
    970.87x = 561,199.78
  5. Step 5: Solve for x
    x = 561,199.78/970.87
  6. Step 6: Final answer
    x = 578.04

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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.