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Finding the Fourth Proportional to 763.71, 1,054.47 and 469.08

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Solution

The fourth proportional to 763.71, 1,054.47 and 469.08 is: 647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.71 : 1,054.47 = 469.08 : x
  2. Step 2: Convert to fraction form
    763.71/1,054.47 = 469.08/x
  3. Step 3: Cross multiply
    763.71x = 1,054.47 × 469.08
  4. Step 4: Simplify right side
    763.71x = 494,623.17
  5. Step 5: Solve for x
    x = 494,623.17/763.71
  6. Step 6: Final answer
    x = 647.66

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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.