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Finding the Fourth Proportional to 1,170.49, 1,615.32 and 646.51

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Solution

The fourth proportional to 1,170.49, 1,615.32 and 646.51 is: 892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.49 : 1,615.32 = 646.51 : x
  2. Step 2: Convert to fraction form
    1,170.49/1,615.32 = 646.51/x
  3. Step 3: Cross multiply
    1,170.49x = 1,615.32 × 646.51
  4. Step 4: Simplify right side
    1,170.49x = 1,044,320.53
  5. Step 5: Solve for x
    x = 1,044,320.53/1,170.49
  6. Step 6: Final answer
    x = 892.21

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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.