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Finding the Fourth Proportional to 1,026.86, 1,417.08 and 561.11

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Solution

The fourth proportional to 1,026.86, 1,417.08 and 561.11 is: 774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.86 : 1,417.08 = 561.11 : x
  2. Step 2: Convert to fraction form
    1,026.86/1,417.08 = 561.11/x
  3. Step 3: Cross multiply
    1,026.86x = 1,417.08 × 561.11
  4. Step 4: Simplify right side
    1,026.86x = 795,130.67
  5. Step 5: Solve for x
    x = 795,130.67/1,026.86
  6. Step 6: Final answer
    x = 774.34

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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.