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Finding the Fourth Proportional to 1,075.47, 1,613.45 and 345.11

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Solution

The fourth proportional to 1,075.47, 1,613.45 and 345.11 is: 517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.47 : 1,613.45 = 345.11 : x
  2. Step 2: Convert to fraction form
    1,075.47/1,613.45 = 345.11/x
  3. Step 3: Cross multiply
    1,075.47x = 1,613.45 × 345.11
  4. Step 4: Simplify right side
    1,075.47x = 556,807.94
  5. Step 5: Solve for x
    x = 556,807.94/1,075.47
  6. Step 6: Final answer
    x = 517.73

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.