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Finding the Fourth Proportional to 889.76, 1,335 and 402.32

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Solution

The fourth proportional to 889.76, 1,335 and 402.32 is: 603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.76 : 1,335 = 402.32 : x
  2. Step 2: Convert to fraction form
    889.76/1,335 = 402.32/x
  3. Step 3: Cross multiply
    889.76x = 1,335 × 402.32
  4. Step 4: Simplify right side
    889.76x = 537,097.20
  5. Step 5: Solve for x
    x = 537,097.20/889.76
  6. Step 6: Final answer
    x = 603.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.