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Finding the Fourth Proportional to 1,026.02, 1,416.48 and 653.24

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Solution

The fourth proportional to 1,026.02, 1,416.48 and 653.24 is: 901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.02 : 1,416.48 = 653.24 : x
  2. Step 2: Convert to fraction form
    1,026.02/1,416.48 = 653.24/x
  3. Step 3: Cross multiply
    1,026.02x = 1,416.48 × 653.24
  4. Step 4: Simplify right side
    1,026.02x = 925,301.40
  5. Step 5: Solve for x
    x = 925,301.40/1,026.02
  6. Step 6: Final answer
    x = 901.84

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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.