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Finding the Fourth Proportional to 1,567.02, 2,349.11 and 744.46

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Solution

The fourth proportional to 1,567.02, 2,349.11 and 744.46 is: 1,116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.02 : 2,349.11 = 744.46 : x
  2. Step 2: Convert to fraction form
    1,567.02/2,349.11 = 744.46/x
  3. Step 3: Cross multiply
    1,567.02x = 2,349.11 × 744.46
  4. Step 4: Simplify right side
    1,567.02x = 1,748,818.43
  5. Step 5: Solve for x
    x = 1,748,818.43/1,567.02
  6. Step 6: Final answer
    x = 1,116.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.