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Finding the Fourth Proportional to 1,046.90, 1,444.28 and 653.64

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Solution

The fourth proportional to 1,046.90, 1,444.28 and 653.64 is: 901.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.90 : 1,444.28 = 653.64 : x
  2. Step 2: Convert to fraction form
    1,046.90/1,444.28 = 653.64/x
  3. Step 3: Cross multiply
    1,046.90x = 1,444.28 × 653.64
  4. Step 4: Simplify right side
    1,046.90x = 944,039.18
  5. Step 5: Solve for x
    x = 944,039.18/1,046.90
  6. Step 6: Final answer
    x = 901.75

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Why These Related Problems?

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