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Finding the Fourth Proportional to 1,042.51, 1,569.94 and 907.19

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Solution

The fourth proportional to 1,042.51, 1,569.94 and 907.19 is: 1,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.51 : 1,569.94 = 907.19 : x
  2. Step 2: Convert to fraction form
    1,042.51/1,569.94 = 907.19/x
  3. Step 3: Cross multiply
    1,042.51x = 1,569.94 × 907.19
  4. Step 4: Simplify right side
    1,042.51x = 1,424,233.87
  5. Step 5: Solve for x
    x = 1,424,233.87/1,042.51
  6. Step 6: Final answer
    x = 1,366.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.