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Finding the Fourth Proportional to 779.54, 1,075.86 and 592.70

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Solution

The fourth proportional to 779.54, 1,075.86 and 592.70 is: 818.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.54 : 1,075.86 = 592.70 : x
  2. Step 2: Convert to fraction form
    779.54/1,075.86 = 592.70/x
  3. Step 3: Cross multiply
    779.54x = 1,075.86 × 592.70
  4. Step 4: Simplify right side
    779.54x = 637,656.84
  5. Step 5: Solve for x
    x = 637,656.84/779.54
  6. Step 6: Final answer
    x = 818.00

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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.