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Finding the Fourth Proportional to 760.14, 1,140.66 and 349.26

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Solution

The fourth proportional to 760.14, 1,140.66 and 349.26 is: 524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.14 : 1,140.66 = 349.26 : x
  2. Step 2: Convert to fraction form
    760.14/1,140.66 = 349.26/x
  3. Step 3: Cross multiply
    760.14x = 1,140.66 × 349.26
  4. Step 4: Simplify right side
    760.14x = 398,386.91
  5. Step 5: Solve for x
    x = 398,386.91/760.14
  6. Step 6: Final answer
    x = 524.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.