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Finding the Fourth Proportional to 1,114.21, 1,670.58 and 565.63

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Solution

The fourth proportional to 1,114.21, 1,670.58 and 565.63 is: 848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.21 : 1,670.58 = 565.63 : x
  2. Step 2: Convert to fraction form
    1,114.21/1,670.58 = 565.63/x
  3. Step 3: Cross multiply
    1,114.21x = 1,670.58 × 565.63
  4. Step 4: Simplify right side
    1,114.21x = 944,921.81
  5. Step 5: Solve for x
    x = 944,921.81/1,114.21
  6. Step 6: Final answer
    x = 848.07

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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.