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Finding the Fourth Proportional to 1,117.07, 1,541.53 and 619.69

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Solution

The fourth proportional to 1,117.07, 1,541.53 and 619.69 is: 855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.07 : 1,541.53 = 619.69 : x
  2. Step 2: Convert to fraction form
    1,117.07/1,541.53 = 619.69/x
  3. Step 3: Cross multiply
    1,117.07x = 1,541.53 × 619.69
  4. Step 4: Simplify right side
    1,117.07x = 955,278.12
  5. Step 5: Solve for x
    x = 955,278.12/1,117.07
  6. Step 6: Final answer
    x = 855.17

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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.