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Finding the Fourth Proportional to 1,011.58, 1,395.88 and 569.54

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Solution

The fourth proportional to 1,011.58, 1,395.88 and 569.54 is: 785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.58 : 1,395.88 = 569.54 : x
  2. Step 2: Convert to fraction form
    1,011.58/1,395.88 = 569.54/x
  3. Step 3: Cross multiply
    1,011.58x = 1,395.88 × 569.54
  4. Step 4: Simplify right side
    1,011.58x = 795,009.50
  5. Step 5: Solve for x
    x = 795,009.50/1,011.58
  6. Step 6: Final answer
    x = 785.91

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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.