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Finding the Fourth Proportional to 1,503.68, 2,075.12 and 840.58

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Solution

The fourth proportional to 1,503.68, 2,075.12 and 840.58 is: 1,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.68 : 2,075.12 = 840.58 : x
  2. Step 2: Convert to fraction form
    1,503.68/2,075.12 = 840.58/x
  3. Step 3: Cross multiply
    1,503.68x = 2,075.12 × 840.58
  4. Step 4: Simplify right side
    1,503.68x = 1,744,298.13
  5. Step 5: Solve for x
    x = 1,744,298.13/1,503.68
  6. Step 6: Final answer
    x = 1,160.02

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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.