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Finding the Fourth Proportional to 760.40, 1,048.44 and 497.84

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Solution

The fourth proportional to 760.40, 1,048.44 and 497.84 is: 686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.40 : 1,048.44 = 497.84 : x
  2. Step 2: Convert to fraction form
    760.40/1,048.44 = 497.84/x
  3. Step 3: Cross multiply
    760.40x = 1,048.44 × 497.84
  4. Step 4: Simplify right side
    760.40x = 521,955.37
  5. Step 5: Solve for x
    x = 521,955.37/760.40
  6. Step 6: Final answer
    x = 686.42

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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.