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Finding the Fourth Proportional to 1,035.60, 1,430.64 and 957.84

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Solution

The fourth proportional to 1,035.60, 1,430.64 and 957.84 is: 1,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.60 : 1,430.64 = 957.84 : x
  2. Step 2: Convert to fraction form
    1,035.60/1,430.64 = 957.84/x
  3. Step 3: Cross multiply
    1,035.60x = 1,430.64 × 957.84
  4. Step 4: Simplify right side
    1,035.60x = 1,370,324.22
  5. Step 5: Solve for x
    x = 1,370,324.22/1,035.60
  6. Step 6: Final answer
    x = 1,323.22

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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.