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Finding the Fourth Proportional to 1,052.16, 1,451.34 and 632.22

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Solution

The fourth proportional to 1,052.16, 1,451.34 and 632.22 is: 872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.16 : 1,451.34 = 632.22 : x
  2. Step 2: Convert to fraction form
    1,052.16/1,451.34 = 632.22/x
  3. Step 3: Cross multiply
    1,052.16x = 1,451.34 × 632.22
  4. Step 4: Simplify right side
    1,052.16x = 917,566.17
  5. Step 5: Solve for x
    x = 917,566.17/1,052.16
  6. Step 6: Final answer
    x = 872.08

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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.