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Finding the Fourth Proportional to 1,313.96, 1,970.34 and 697.52

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Solution

The fourth proportional to 1,313.96, 1,970.34 and 697.52 is: 1,045.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.96 : 1,970.34 = 697.52 : x
  2. Step 2: Convert to fraction form
    1,313.96/1,970.34 = 697.52/x
  3. Step 3: Cross multiply
    1,313.96x = 1,970.34 × 697.52
  4. Step 4: Simplify right side
    1,313.96x = 1,374,341.71
  5. Step 5: Solve for x
    x = 1,374,341.71/1,313.96
  6. Step 6: Final answer
    x = 1,045.96

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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.