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Finding the Fourth Proportional to 1,133.47, 1,560.17 and 838.22

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Solution

The fourth proportional to 1,133.47, 1,560.17 and 838.22 is: 1,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.47 : 1,560.17 = 838.22 : x
  2. Step 2: Convert to fraction form
    1,133.47/1,560.17 = 838.22/x
  3. Step 3: Cross multiply
    1,133.47x = 1,560.17 × 838.22
  4. Step 4: Simplify right side
    1,133.47x = 1,307,761.51
  5. Step 5: Solve for x
    x = 1,307,761.51/1,133.47
  6. Step 6: Final answer
    x = 1,153.77

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Double scale
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1.5x scale

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.