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Finding the Fourth Proportional to 1,170.47, 1,613.80 and 750.14

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Solution

The fourth proportional to 1,170.47, 1,613.80 and 750.14 is: 1,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.47 : 1,613.80 = 750.14 : x
  2. Step 2: Convert to fraction form
    1,170.47/1,613.80 = 750.14/x
  3. Step 3: Cross multiply
    1,170.47x = 1,613.80 × 750.14
  4. Step 4: Simplify right side
    1,170.47x = 1,210,565.99
  5. Step 5: Solve for x
    x = 1,210,565.99/1,170.47
  6. Step 6: Final answer
    x = 1,034.25

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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.