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Finding the Fourth Proportional to 897.64, 1,347.32 and 487.64

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Solution

The fourth proportional to 897.64, 1,347.32 and 487.64 is: 731.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.64 : 1,347.32 = 487.64 : x
  2. Step 2: Convert to fraction form
    897.64/1,347.32 = 487.64/x
  3. Step 3: Cross multiply
    897.64x = 1,347.32 × 487.64
  4. Step 4: Simplify right side
    897.64x = 657,011.71
  5. Step 5: Solve for x
    x = 657,011.71/897.64
  6. Step 6: Final answer
    x = 731.93

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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.