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Finding the Fourth Proportional to 1,313.79, 1,970.64 and 436.89

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Solution

The fourth proportional to 1,313.79, 1,970.64 and 436.89 is: 655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.79 : 1,970.64 = 436.89 : x
  2. Step 2: Convert to fraction form
    1,313.79/1,970.64 = 436.89/x
  3. Step 3: Cross multiply
    1,313.79x = 1,970.64 × 436.89
  4. Step 4: Simplify right side
    1,313.79x = 860,952.91
  5. Step 5: Solve for x
    x = 860,952.91/1,313.79
  6. Step 6: Final answer
    x = 655.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.