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Finding the Fourth Proportional to 1,703.35, 2,554.41 and 549.10

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Solution

The fourth proportional to 1,703.35, 2,554.41 and 549.10 is: 823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.35 : 2,554.41 = 549.10 : x
  2. Step 2: Convert to fraction form
    1,703.35/2,554.41 = 549.10/x
  3. Step 3: Cross multiply
    1,703.35x = 2,554.41 × 549.10
  4. Step 4: Simplify right side
    1,703.35x = 1,402,613.76
  5. Step 5: Solve for x
    x = 1,402,613.76/1,703.35
  6. Step 6: Final answer
    x = 823.45

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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.