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Finding the Fourth Proportional to 1,153.32, 1,590.32 and 779.66

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Solution

The fourth proportional to 1,153.32, 1,590.32 and 779.66 is: 1,075.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.32 : 1,590.32 = 779.66 : x
  2. Step 2: Convert to fraction form
    1,153.32/1,590.32 = 779.66/x
  3. Step 3: Cross multiply
    1,153.32x = 1,590.32 × 779.66
  4. Step 4: Simplify right side
    1,153.32x = 1,239,897.04
  5. Step 5: Solve for x
    x = 1,239,897.04/1,153.32
  6. Step 6: Final answer
    x = 1,075.07

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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.