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Finding the Fourth Proportional to 1,175.49, 1,622.16 and 651.51

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Solution

The fourth proportional to 1,175.49, 1,622.16 and 651.51 is: 899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.49 : 1,622.16 = 651.51 : x
  2. Step 2: Convert to fraction form
    1,175.49/1,622.16 = 651.51/x
  3. Step 3: Cross multiply
    1,175.49x = 1,622.16 × 651.51
  4. Step 4: Simplify right side
    1,175.49x = 1,056,853.46
  5. Step 5: Solve for x
    x = 1,056,853.46/1,175.49
  6. Step 6: Final answer
    x = 899.07

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1.5x scale

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.