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Finding the Fourth Proportional to 1,106.58, 1,527.06 and 714.30

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Solution

The fourth proportional to 1,106.58, 1,527.06 and 714.30 is: 985.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.58 : 1,527.06 = 714.30 : x
  2. Step 2: Convert to fraction form
    1,106.58/1,527.06 = 714.30/x
  3. Step 3: Cross multiply
    1,106.58x = 1,527.06 × 714.30
  4. Step 4: Simplify right side
    1,106.58x = 1,090,778.96
  5. Step 5: Solve for x
    x = 1,090,778.96/1,106.58
  6. Step 6: Final answer
    x = 985.72

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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.