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Finding the Fourth Proportional to 810.20, 1,117.34 and 530.35

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Solution

The fourth proportional to 810.20, 1,117.34 and 530.35 is: 731.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.20 : 1,117.34 = 530.35 : x
  2. Step 2: Convert to fraction form
    810.20/1,117.34 = 530.35/x
  3. Step 3: Cross multiply
    810.20x = 1,117.34 × 530.35
  4. Step 4: Simplify right side
    810.20x = 592,577.01
  5. Step 5: Solve for x
    x = 592,577.01/810.20
  6. Step 6: Final answer
    x = 731.40

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Double scale
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1.5x scale

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.