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Finding the Fourth Proportional to 1,011.13, 1,395.34 and 569.02

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Solution

The fourth proportional to 1,011.13, 1,395.34 and 569.02 is: 785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.13 : 1,395.34 = 569.02 : x
  2. Step 2: Convert to fraction form
    1,011.13/1,395.34 = 569.02/x
  3. Step 3: Cross multiply
    1,011.13x = 1,395.34 × 569.02
  4. Step 4: Simplify right side
    1,011.13x = 793,981.28
  5. Step 5: Solve for x
    x = 793,981.28/1,011.13
  6. Step 6: Final answer
    x = 785.24

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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.