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Finding the Fourth Proportional to 1,046.61, 1,444.83 and 653.85

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Solution

The fourth proportional to 1,046.61, 1,444.83 and 653.85 is: 902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.61 : 1,444.83 = 653.85 : x
  2. Step 2: Convert to fraction form
    1,046.61/1,444.83 = 653.85/x
  3. Step 3: Cross multiply
    1,046.61x = 1,444.83 × 653.85
  4. Step 4: Simplify right side
    1,046.61x = 944,702.10
  5. Step 5: Solve for x
    x = 944,702.10/1,046.61
  6. Step 6: Final answer
    x = 902.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.