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Finding the Fourth Proportional to 1,026.47, 1,416.29 and 606.89

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Solution

The fourth proportional to 1,026.47, 1,416.29 and 606.89 is: 837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.47 : 1,416.29 = 606.89 : x
  2. Step 2: Convert to fraction form
    1,026.47/1,416.29 = 606.89/x
  3. Step 3: Cross multiply
    1,026.47x = 1,416.29 × 606.89
  4. Step 4: Simplify right side
    1,026.47x = 859,532.74
  5. Step 5: Solve for x
    x = 859,532.74/1,026.47
  6. Step 6: Final answer
    x = 837.37

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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.