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Finding the Fourth Proportional to 973.99, 1,461.09 and 357.98

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Solution

The fourth proportional to 973.99, 1,461.09 and 357.98 is: 537.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.99 : 1,461.09 = 357.98 : x
  2. Step 2: Convert to fraction form
    973.99/1,461.09 = 357.98/x
  3. Step 3: Cross multiply
    973.99x = 1,461.09 × 357.98
  4. Step 4: Simplify right side
    973.99x = 523,041.00
  5. Step 5: Solve for x
    x = 523,041.00/973.99
  6. Step 6: Final answer
    x = 537.01

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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.