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Finding the Fourth Proportional to 899.02, 1,348.54 and 405.24

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Solution

The fourth proportional to 899.02, 1,348.54 and 405.24 is: 607.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.02 : 1,348.54 = 405.24 : x
  2. Step 2: Convert to fraction form
    899.02/1,348.54 = 405.24/x
  3. Step 3: Cross multiply
    899.02x = 1,348.54 × 405.24
  4. Step 4: Simplify right side
    899.02x = 546,482.35
  5. Step 5: Solve for x
    x = 546,482.35/899.02
  6. Step 6: Final answer
    x = 607.86

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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.