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Finding the Fourth Proportional to 810.52, 1,117.98 and 749.00

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Solution

The fourth proportional to 810.52, 1,117.98 and 749.00 is: 1,033.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.52 : 1,117.98 = 749.00 : x
  2. Step 2: Convert to fraction form
    810.52/1,117.98 = 749.00/x
  3. Step 3: Cross multiply
    810.52x = 1,117.98 × 749.00
  4. Step 4: Simplify right side
    810.52x = 837,369.81
  5. Step 5: Solve for x
    x = 837,369.81/810.52
  6. Step 6: Final answer
    x = 1,033.13

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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.