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Finding the Fourth Proportional to 1,089.40, 1,503.56 and 647.56

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Solution

The fourth proportional to 1,089.40, 1,503.56 and 647.56 is: 893.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.40 : 1,503.56 = 647.56 : x
  2. Step 2: Convert to fraction form
    1,089.40/1,503.56 = 647.56/x
  3. Step 3: Cross multiply
    1,089.40x = 1,503.56 × 647.56
  4. Step 4: Simplify right side
    1,089.40x = 973,642.47
  5. Step 5: Solve for x
    x = 973,642.47/1,089.40
  6. Step 6: Final answer
    x = 893.74

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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.