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Finding the Fourth Proportional to 1,106.55, 1,527.66 and 870.03

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Solution

The fourth proportional to 1,106.55, 1,527.66 and 870.03 is: 1,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.55 : 1,527.66 = 870.03 : x
  2. Step 2: Convert to fraction form
    1,106.55/1,527.66 = 870.03/x
  3. Step 3: Cross multiply
    1,106.55x = 1,527.66 × 870.03
  4. Step 4: Simplify right side
    1,106.55x = 1,329,110.03
  5. Step 5: Solve for x
    x = 1,329,110.03/1,106.55
  6. Step 6: Final answer
    x = 1,201.13

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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.