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Finding the Fourth Proportional to 1,009.53, 1,389.42 and 714.29

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Solution

The fourth proportional to 1,009.53, 1,389.42 and 714.29 is: 983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.53 : 1,389.42 = 714.29 : x
  2. Step 2: Convert to fraction form
    1,009.53/1,389.42 = 714.29/x
  3. Step 3: Cross multiply
    1,009.53x = 1,389.42 × 714.29
  4. Step 4: Simplify right side
    1,009.53x = 992,441.86
  5. Step 5: Solve for x
    x = 992,441.86/1,009.53
  6. Step 6: Final answer
    x = 983.07

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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.