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Finding the Fourth Proportional to 1,457.58, 2,186.48 and 417.66

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Solution

The fourth proportional to 1,457.58, 2,186.48 and 417.66 is: 626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.58 : 2,186.48 = 417.66 : x
  2. Step 2: Convert to fraction form
    1,457.58/2,186.48 = 417.66/x
  3. Step 3: Cross multiply
    1,457.58x = 2,186.48 × 417.66
  4. Step 4: Simplify right side
    1,457.58x = 913,205.24
  5. Step 5: Solve for x
    x = 913,205.24/1,457.58
  6. Step 6: Final answer
    x = 626.52

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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.