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Finding the Fourth Proportional to 970.83, 1,455.08 and 450.14

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Solution

The fourth proportional to 970.83, 1,455.08 and 450.14 is: 674.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.83 : 1,455.08 = 450.14 : x
  2. Step 2: Convert to fraction form
    970.83/1,455.08 = 450.14/x
  3. Step 3: Cross multiply
    970.83x = 1,455.08 × 450.14
  4. Step 4: Simplify right side
    970.83x = 654,980.19
  5. Step 5: Solve for x
    x = 654,980.19/970.83
  6. Step 6: Final answer
    x = 674.66

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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.