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Finding the Fourth Proportional to 1,106.90, 1,527.54 and 609.53

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Solution

The fourth proportional to 1,106.90, 1,527.54 and 609.53 is: 841.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.90 : 1,527.54 = 609.53 : x
  2. Step 2: Convert to fraction form
    1,106.90/1,527.54 = 609.53/x
  3. Step 3: Cross multiply
    1,106.90x = 1,527.54 × 609.53
  4. Step 4: Simplify right side
    1,106.90x = 931,078.41
  5. Step 5: Solve for x
    x = 931,078.41/1,106.90
  6. Step 6: Final answer
    x = 841.16

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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.