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Finding the Fourth Proportional to 763.48, 1,053.08 and 468.89

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Solution

The fourth proportional to 763.48, 1,053.08 and 468.89 is: 646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.48 : 1,053.08 = 468.89 : x
  2. Step 2: Convert to fraction form
    763.48/1,053.08 = 468.89/x
  3. Step 3: Cross multiply
    763.48x = 1,053.08 × 468.89
  4. Step 4: Simplify right side
    763.48x = 493,775.46
  5. Step 5: Solve for x
    x = 493,775.46/763.48
  6. Step 6: Final answer
    x = 646.75

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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.