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Finding the Fourth Proportional to 763.02, 1,053.36 and 688.32

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Solution

The fourth proportional to 763.02, 1,053.36 and 688.32 is: 950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.02 : 1,053.36 = 688.32 : x
  2. Step 2: Convert to fraction form
    763.02/1,053.36 = 688.32/x
  3. Step 3: Cross multiply
    763.02x = 1,053.36 × 688.32
  4. Step 4: Simplify right side
    763.02x = 725,048.76
  5. Step 5: Solve for x
    x = 725,048.76/763.02
  6. Step 6: Final answer
    x = 950.24

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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.