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Finding the Fourth Proportional to 1,170.02, 1,754.51 and 457.53

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Solution

The fourth proportional to 1,170.02, 1,754.51 and 457.53 is: 686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.02 : 1,754.51 = 457.53 : x
  2. Step 2: Convert to fraction form
    1,170.02/1,754.51 = 457.53/x
  3. Step 3: Cross multiply
    1,170.02x = 1,754.51 × 457.53
  4. Step 4: Simplify right side
    1,170.02x = 802,738.67
  5. Step 5: Solve for x
    x = 802,738.67/1,170.02
  6. Step 6: Final answer
    x = 686.09

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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.