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Finding the Fourth Proportional to 897.47, 1,347.44 and 653.88

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Solution

The fourth proportional to 897.47, 1,347.44 and 653.88 is: 981.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.47 : 1,347.44 = 653.88 : x
  2. Step 2: Convert to fraction form
    897.47/1,347.44 = 653.88/x
  3. Step 3: Cross multiply
    897.47x = 1,347.44 × 653.88
  4. Step 4: Simplify right side
    897.47x = 881,060.80
  5. Step 5: Solve for x
    x = 881,060.80/897.47
  6. Step 6: Final answer
    x = 981.72

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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.