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Finding the Fourth Proportional to 1,109.10, 1,530.60 and 637.06

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Solution

The fourth proportional to 1,109.10, 1,530.60 and 637.06 is: 879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.10 : 1,530.60 = 637.06 : x
  2. Step 2: Convert to fraction form
    1,109.10/1,530.60 = 637.06/x
  3. Step 3: Cross multiply
    1,109.10x = 1,530.60 × 637.06
  4. Step 4: Simplify right side
    1,109.10x = 975,084.04
  5. Step 5: Solve for x
    x = 975,084.04/1,109.10
  6. Step 6: Final answer
    x = 879.17

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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.