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Finding the Fourth Proportional to 1,106.88, 1,527.84 and 1,070.40

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Solution

The fourth proportional to 1,106.88, 1,527.84 and 1,070.40 is: 1,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.88 : 1,527.84 = 1,070.40 : x
  2. Step 2: Convert to fraction form
    1,106.88/1,527.84 = 1,070.40/x
  3. Step 3: Cross multiply
    1,106.88x = 1,527.84 × 1,070.40
  4. Step 4: Simplify right side
    1,106.88x = 1,635,399.94
  5. Step 5: Solve for x
    x = 1,635,399.94/1,106.88
  6. Step 6: Final answer
    x = 1,477.49

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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.