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Finding the Fourth Proportional to 1,106.40, 1,525.60 and 870.36

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Solution

The fourth proportional to 1,106.40, 1,525.60 and 870.36 is: 1,200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.40 : 1,525.60 = 870.36 : x
  2. Step 2: Convert to fraction form
    1,106.40/1,525.60 = 870.36/x
  3. Step 3: Cross multiply
    1,106.40x = 1,525.60 × 870.36
  4. Step 4: Simplify right side
    1,106.40x = 1,327,821.22
  5. Step 5: Solve for x
    x = 1,327,821.22/1,106.40
  6. Step 6: Final answer
    x = 1,200.13

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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.