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Finding the Fourth Proportional to 973.40, 1,457.40 and 946.40

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Solution

The fourth proportional to 973.40, 1,457.40 and 946.40 is: 1,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.40 : 1,457.40 = 946.40 : x
  2. Step 2: Convert to fraction form
    973.40/1,457.40 = 946.40/x
  3. Step 3: Cross multiply
    973.40x = 1,457.40 × 946.40
  4. Step 4: Simplify right side
    973.40x = 1,379,283.36
  5. Step 5: Solve for x
    x = 1,379,283.36/973.40
  6. Step 6: Final answer
    x = 1,416.97

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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.