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Finding the Fourth Proportional to 1,090.19, 1,503.79 and 647.79

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Solution

The fourth proportional to 1,090.19, 1,503.79 and 647.79 is: 893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.19 : 1,503.79 = 647.79 : x
  2. Step 2: Convert to fraction form
    1,090.19/1,503.79 = 647.79/x
  3. Step 3: Cross multiply
    1,090.19x = 1,503.79 × 647.79
  4. Step 4: Simplify right side
    1,090.19x = 974,140.12
  5. Step 5: Solve for x
    x = 974,140.12/1,090.19
  6. Step 6: Final answer
    x = 893.55

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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.