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Finding the Fourth Proportional to 760.65, 1,140.98 and 183.53

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Solution

The fourth proportional to 760.65, 1,140.98 and 183.53 is: 275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.65 : 1,140.98 = 183.53 : x
  2. Step 2: Convert to fraction form
    760.65/1,140.98 = 183.53/x
  3. Step 3: Cross multiply
    760.65x = 1,140.98 × 183.53
  4. Step 4: Simplify right side
    760.65x = 209,401.21
  5. Step 5: Solve for x
    x = 209,401.21/760.65
  6. Step 6: Final answer
    x = 275.29

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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.