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Finding the Fourth Proportional to 1,089.75, 1,503.66 and 647.55

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Solution

The fourth proportional to 1,089.75, 1,503.66 and 647.55 is: 893.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.75 : 1,503.66 = 647.55 : x
  2. Step 2: Convert to fraction form
    1,089.75/1,503.66 = 647.55/x
  3. Step 3: Cross multiply
    1,089.75x = 1,503.66 × 647.55
  4. Step 4: Simplify right side
    1,089.75x = 973,695.03
  5. Step 5: Solve for x
    x = 973,695.03/1,089.75
  6. Step 6: Final answer
    x = 893.50

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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.