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Finding the Fourth Proportional to 973.12, 1,458.06 and 697.82

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Solution

The fourth proportional to 973.12, 1,458.06 and 697.82 is: 1,045.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.12 : 1,458.06 = 697.82 : x
  2. Step 2: Convert to fraction form
    973.12/1,458.06 = 697.82/x
  3. Step 3: Cross multiply
    973.12x = 1,458.06 × 697.82
  4. Step 4: Simplify right side
    973.12x = 1,017,463.43
  5. Step 5: Solve for x
    x = 1,017,463.43/973.12
  6. Step 6: Final answer
    x = 1,045.57

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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.