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Finding the Fourth Proportional to 1,313.35, 1,810.63 and 1,032.50

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Solution

The fourth proportional to 1,313.35, 1,810.63 and 1,032.50 is: 1,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.35 : 1,810.63 = 1,032.50 : x
  2. Step 2: Convert to fraction form
    1,313.35/1,810.63 = 1,032.50/x
  3. Step 3: Cross multiply
    1,313.35x = 1,810.63 × 1,032.50
  4. Step 4: Simplify right side
    1,313.35x = 1,869,475.48
  5. Step 5: Solve for x
    x = 1,869,475.48/1,313.35
  6. Step 6: Final answer
    x = 1,423.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.