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Finding the Fourth Proportional to 1,055.84, 1,457.01 and 613.76

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Solution

The fourth proportional to 1,055.84, 1,457.01 and 613.76 is: 846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.84 : 1,457.01 = 613.76 : x
  2. Step 2: Convert to fraction form
    1,055.84/1,457.01 = 613.76/x
  3. Step 3: Cross multiply
    1,055.84x = 1,457.01 × 613.76
  4. Step 4: Simplify right side
    1,055.84x = 894,247.17
  5. Step 5: Solve for x
    x = 894,247.17/1,055.84
  6. Step 6: Final answer
    x = 846.96

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Why These Related Problems?

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