Home / 1,052.34-1,569.32-922.93

Finding the Fourth Proportional to 1,052.34, 1,569.32 and 922.93

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Solution

The fourth proportional to 1,052.34, 1,569.32 and 922.93 is: 1,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.34 : 1,569.32 = 922.93 : x
  2. Step 2: Convert to fraction form
    1,052.34/1,569.32 = 922.93/x
  3. Step 3: Cross multiply
    1,052.34x = 1,569.32 × 922.93
  4. Step 4: Simplify right side
    1,052.34x = 1,448,372.51
  5. Step 5: Solve for x
    x = 1,448,372.51/1,052.34
  6. Step 6: Final answer
    x = 1,376.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.