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Finding the Fourth Proportional to 1,303.59, 1,798.98 and 973.53

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Solution

The fourth proportional to 1,303.59, 1,798.98 and 973.53 is: 1,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.59 : 1,798.98 = 973.53 : x
  2. Step 2: Convert to fraction form
    1,303.59/1,798.98 = 973.53/x
  3. Step 3: Cross multiply
    1,303.59x = 1,798.98 × 973.53
  4. Step 4: Simplify right side
    1,303.59x = 1,751,361.00
  5. Step 5: Solve for x
    x = 1,751,361.00/1,303.59
  6. Step 6: Final answer
    x = 1,343.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.