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Finding the Fourth Proportional to 1,021.16, 1,408.68 and 647.51

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Solution

The fourth proportional to 1,021.16, 1,408.68 and 647.51 is: 893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.16 : 1,408.68 = 647.51 : x
  2. Step 2: Convert to fraction form
    1,021.16/1,408.68 = 647.51/x
  3. Step 3: Cross multiply
    1,021.16x = 1,408.68 × 647.51
  4. Step 4: Simplify right side
    1,021.16x = 912,127.34
  5. Step 5: Solve for x
    x = 912,127.34/1,021.16
  6. Step 6: Final answer
    x = 893.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.