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Finding the Fourth Proportional to 1,078.06, 1,616.88 and 530.08

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Solution

The fourth proportional to 1,078.06, 1,616.88 and 530.08 is: 795.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.06 : 1,616.88 = 530.08 : x
  2. Step 2: Convert to fraction form
    1,078.06/1,616.88 = 530.08/x
  3. Step 3: Cross multiply
    1,078.06x = 1,616.88 × 530.08
  4. Step 4: Simplify right side
    1,078.06x = 857,075.75
  5. Step 5: Solve for x
    x = 857,075.75/1,078.06
  6. Step 6: Final answer
    x = 795.02

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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.