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Finding the Fourth Proportional to 779.69, 1,075.46 and 592.76

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Solution

The fourth proportional to 779.69, 1,075.46 and 592.76 is: 817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.69 : 1,075.46 = 592.76 : x
  2. Step 2: Convert to fraction form
    779.69/1,075.46 = 592.76/x
  3. Step 3: Cross multiply
    779.69x = 1,075.46 × 592.76
  4. Step 4: Simplify right side
    779.69x = 637,489.39
  5. Step 5: Solve for x
    x = 637,489.39/779.69
  6. Step 6: Final answer
    x = 817.62

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Double scale
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1.5x scale

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.