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Finding the Fourth Proportional to 924.21, 1,385.31 and 456.01

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Solution

The fourth proportional to 924.21, 1,385.31 and 456.01 is: 683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.21 : 1,385.31 = 456.01 : x
  2. Step 2: Convert to fraction form
    924.21/1,385.31 = 456.01/x
  3. Step 3: Cross multiply
    924.21x = 1,385.31 × 456.01
  4. Step 4: Simplify right side
    924.21x = 631,715.21
  5. Step 5: Solve for x
    x = 631,715.21/924.21
  6. Step 6: Final answer
    x = 683.52

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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.