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Finding the Fourth Proportional to 1,160.07, 1,740.77 and 430.14

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Solution

The fourth proportional to 1,160.07, 1,740.77 and 430.14 is: 645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.07 : 1,740.77 = 430.14 : x
  2. Step 2: Convert to fraction form
    1,160.07/1,740.77 = 430.14/x
  3. Step 3: Cross multiply
    1,160.07x = 1,740.77 × 430.14
  4. Step 4: Simplify right side
    1,160.07x = 748,774.81
  5. Step 5: Solve for x
    x = 748,774.81/1,160.07
  6. Step 6: Final answer
    x = 645.46

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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.