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Finding the Fourth Proportional to 1,160.42, 1,739.62 and 467.08

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Solution

The fourth proportional to 1,160.42, 1,739.62 and 467.08 is: 700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.42 : 1,739.62 = 467.08 : x
  2. Step 2: Convert to fraction form
    1,160.42/1,739.62 = 467.08/x
  3. Step 3: Cross multiply
    1,160.42x = 1,739.62 × 467.08
  4. Step 4: Simplify right side
    1,160.42x = 812,541.71
  5. Step 5: Solve for x
    x = 812,541.71/1,160.42
  6. Step 6: Final answer
    x = 700.21

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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.