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Finding the Fourth Proportional to 907.59, 1,358.29 and 703.06

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Solution

The fourth proportional to 907.59, 1,358.29 and 703.06 is: 1,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.59 : 1,358.29 = 703.06 : x
  2. Step 2: Convert to fraction form
    907.59/1,358.29 = 703.06/x
  3. Step 3: Cross multiply
    907.59x = 1,358.29 × 703.06
  4. Step 4: Simplify right side
    907.59x = 954,959.37
  5. Step 5: Solve for x
    x = 954,959.37/907.59
  6. Step 6: Final answer
    x = 1,052.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.