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Finding the Fourth Proportional to 1,146.53, 1,718.61 and 452.91

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Solution

The fourth proportional to 1,146.53, 1,718.61 and 452.91 is: 678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.53 : 1,718.61 = 452.91 : x
  2. Step 2: Convert to fraction form
    1,146.53/1,718.61 = 452.91/x
  3. Step 3: Cross multiply
    1,146.53x = 1,718.61 × 452.91
  4. Step 4: Simplify right side
    1,146.53x = 778,381.08
  5. Step 5: Solve for x
    x = 778,381.08/1,146.53
  6. Step 6: Final answer
    x = 678.90

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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.