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Finding the Fourth Proportional to 697.96, 1,051.60 and 632.16

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Solution

The fourth proportional to 697.96, 1,051.60 and 632.16 is: 952.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.96 : 1,051.60 = 632.16 : x
  2. Step 2: Convert to fraction form
    697.96/1,051.60 = 632.16/x
  3. Step 3: Cross multiply
    697.96x = 1,051.60 × 632.16
  4. Step 4: Simplify right side
    697.96x = 664,779.46
  5. Step 5: Solve for x
    x = 664,779.46/697.96
  6. Step 6: Final answer
    x = 952.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.