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Finding the Fourth Proportional to 1,570.50, 2,354.10 and 530.15

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Solution

The fourth proportional to 1,570.50, 2,354.10 and 530.15 is: 794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.50 : 2,354.10 = 530.15 : x
  2. Step 2: Convert to fraction form
    1,570.50/2,354.10 = 530.15/x
  3. Step 3: Cross multiply
    1,570.50x = 2,354.10 × 530.15
  4. Step 4: Simplify right side
    1,570.50x = 1,248,014.34
  5. Step 5: Solve for x
    x = 1,248,014.34/1,570.50
  6. Step 6: Final answer
    x = 794.66

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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.