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Finding the Fourth Proportional to 1,075.16, 1,613.21 and 458.93

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Solution

The fourth proportional to 1,075.16, 1,613.21 and 458.93 is: 688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.16 : 1,613.21 = 458.93 : x
  2. Step 2: Convert to fraction form
    1,075.16/1,613.21 = 458.93/x
  3. Step 3: Cross multiply
    1,075.16x = 1,613.21 × 458.93
  4. Step 4: Simplify right side
    1,075.16x = 740,340.10
  5. Step 5: Solve for x
    x = 740,340.10/1,075.16
  6. Step 6: Final answer
    x = 688.59

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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.