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Finding the Fourth Proportional to 1,409.23, 2,113.53 and 435.16

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Solution

The fourth proportional to 1,409.23, 2,113.53 and 435.16 is: 652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.23 : 2,113.53 = 435.16 : x
  2. Step 2: Convert to fraction form
    1,409.23/2,113.53 = 435.16/x
  3. Step 3: Cross multiply
    1,409.23x = 2,113.53 × 435.16
  4. Step 4: Simplify right side
    1,409.23x = 919,723.71
  5. Step 5: Solve for x
    x = 919,723.71/1,409.23
  6. Step 6: Final answer
    x = 652.64

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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.