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Finding the Fourth Proportional to 763.07, 1,052.80 and 468.23

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Solution

The fourth proportional to 763.07, 1,052.80 and 468.23 is: 646.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.07 : 1,052.80 = 468.23 : x
  2. Step 2: Convert to fraction form
    763.07/1,052.80 = 468.23/x
  3. Step 3: Cross multiply
    763.07x = 1,052.80 × 468.23
  4. Step 4: Simplify right side
    763.07x = 492,946.11
  5. Step 5: Solve for x
    x = 492,946.11/763.07
  6. Step 6: Final answer
    x = 646.01

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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.