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Finding the Fourth Proportional to 763.83, 1,053.90 and 498.24

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Solution

The fourth proportional to 763.83, 1,053.90 and 498.24 is: 687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.83 : 1,053.90 = 498.24 : x
  2. Step 2: Convert to fraction form
    763.83/1,053.90 = 498.24/x
  3. Step 3: Cross multiply
    763.83x = 1,053.90 × 498.24
  4. Step 4: Simplify right side
    763.83x = 525,095.14
  5. Step 5: Solve for x
    x = 525,095.14/763.83
  6. Step 6: Final answer
    x = 687.45

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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.