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Finding the Fourth Proportional to 1,054.90, 1,457.76 and 792.46

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Solution

The fourth proportional to 1,054.90, 1,457.76 and 792.46 is: 1,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.90 : 1,457.76 = 792.46 : x
  2. Step 2: Convert to fraction form
    1,054.90/1,457.76 = 792.46/x
  3. Step 3: Cross multiply
    1,054.90x = 1,457.76 × 792.46
  4. Step 4: Simplify right side
    1,054.90x = 1,155,216.49
  5. Step 5: Solve for x
    x = 1,155,216.49/1,054.90
  6. Step 6: Final answer
    x = 1,095.10

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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.