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Finding the Fourth Proportional to 1,009.40, 1,393.02 and 567.32

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Solution

The fourth proportional to 1,009.40, 1,393.02 and 567.32 is: 782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.40 : 1,393.02 = 567.32 : x
  2. Step 2: Convert to fraction form
    1,009.40/1,393.02 = 567.32/x
  3. Step 3: Cross multiply
    1,009.40x = 1,393.02 × 567.32
  4. Step 4: Simplify right side
    1,009.40x = 790,288.11
  5. Step 5: Solve for x
    x = 790,288.11/1,009.40
  6. Step 6: Final answer
    x = 782.93

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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.