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Finding the Fourth Proportional to 1,355.60, 2,032.68 and 430.76

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Solution

The fourth proportional to 1,355.60, 2,032.68 and 430.76 is: 645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.60 : 2,032.68 = 430.76 : x
  2. Step 2: Convert to fraction form
    1,355.60/2,032.68 = 430.76/x
  3. Step 3: Cross multiply
    1,355.60x = 2,032.68 × 430.76
  4. Step 4: Simplify right side
    1,355.60x = 875,597.24
  5. Step 5: Solve for x
    x = 875,597.24/1,355.60
  6. Step 6: Final answer
    x = 645.91

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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.